PRIVATE WARRANT AGREEMENT between CHURCHILL CAPITAL CORP XIII and CONTINENTAL STOCK TRANSFER & TRUST COMPANY Dated as of ________, 2026

Exhibit 4.6

between

▇▇▇▇▇▇▇▇▇ CAPITAL CORP XIII

and

CONTINENTAL STOCK TRANSFER & TRUST COMPANY

Dated as of ________, 2026

THIS WARRANT AGREEMENT (this “Agreement”), dated as of ________, 2026, is by and between ▇▇▇▇▇▇▇▇▇ Capital Corp XIII, a Cayman Islands exempted company (the “Company”), and Continental Stock Transfer & Trust Company, a New York corporation, as warrant agent (the “Warrant Agent,” also referred to herein as the “Transfer Agent”).

WHEREAS, on ________, 2026, the Company entered into that certain Private Placement Units Purchase Agreement with ▇▇▇▇▇▇▇▇▇ Sponsor XIII LLC, a Delaware limited liability company, (the “Sponsor”), pursuant to which the Sponsor, (the “Purchaser”) will purchase an aggregate of 350,000 units (the “Private Placement Units”), each Private Placement Unit consisting of one Class A ordinary share of the Company and one warrant to purchase one-tenth of a Class A ordinary share (including if the underwriter exercises its right (the “Over-allotment Option”) to purchase additional Units (as defined below) in the Offering (as defined below) in full) simultaneously with the closing of the Offering, bearing the legend set forth in Exhibit B hereto (the warrants included in the Private Placement Units, together with the additional warrants that may be issued as part of the units as described in the succeeding recital, the “Warrants”) at a purchase price of $10.00 per Private Placement Unit. Each whole Warrant entitles the holder thereof to purchase one whole Class A ordinary share of the Company, par value $0.0001 per share (each, an “Ordinary Share”), for $11.50 per share, subject to adjustment as described herein; and

WHEREAS, in order to finance the Company’s transaction costs in connection with an intended initial Business Combination (as defined below), the Sponsor or an affiliate of the Sponsor or certain of the Company’s officers and directors may, but are not obligated to, loan the Company funds as the Company may require, of which up to $1,500,000 may be convertible into up to an additional 150,000 Units (equivalent to the Private Placement Units and their constituent securities) at a price of $10.00 per Unit; and

WHEREAS, the Company is engaged in an initial public offering (the “Offering”) of units of the Company’s equity securities, each such unit comprised of one Ordinary Share (as defined below) and one-tenth of one public warrant (each, a “Unit”) to public investors in the Offering; and

WHEREAS, the Company has filed with the U.S. Securities and Exchange Commission (the “Commission”) a registration statement on Form S-1 (File No. 333-______) (the “Registration Statement”) and prospectus (the “Prospectus”), for the registration, under the Securities Act of 1933, as amended (the “Securities Act”), of the Units, the public warrants and the Ordinary Shares included in the Units; and

WHEREAS, the Company desires the Warrant Agent to act on behalf of the Company, and the Warrant Agent is willing to so act, in connection with the issuance, registration, transfer, exchange and exercise of the Warrants; and

WHEREAS, the Company desires to provide for the form and provisions of the Warrants, the terms upon which they shall be issued and exercised, and the respective rights, limitation of rights and immunities of the Company, the Warrant Agent and the holders of the Warrants; and

WHEREAS, all acts and things have been done and performed which are necessary to make the Warrants, when executed on behalf of the Company and countersigned by or on behalf of the Warrant Agent (if a physical certificate is issued), as provided herein, the valid, binding and legal obligations of the Company, and to authorize the execution and delivery of this Agreement.

NOW, THEREFORE, in consideration of the mutual agreements herein contained, the parties hereto agree as follows:

1. Appointment of Warrant Agent. The Company hereby appoints the Warrant Agent to act as agent for the Company for the Warrants, and the Warrant Agent ▇▇▇▇▇▇ accepts such appointment and agrees to perform the same in accordance with the terms and conditions set forth in this Agreement.

2. Warrants.

2.1 Form of Warrant. Each Warrant shall be issued in registered form only.

2.2 Effect of Countersignature. If a physical certificate is issued, unless and until countersigned by the Warrant Agent pursuant to this Agreement, a certificated Warrant shall be invalid and of no effect and may not be exercised by the holder thereof.

2.3 Registration.

2.3.1 Warrant Register. The Warrant Agent shall maintain books (the “Warrant Register”) for the registration of the initial issuance of the Warrants and the registration of transfer of the Warrants. Upon the initial issuance of the Warrants in book-entry form, the Warrant Agent shall issue and register the Warrants in the names of the respective holders thereof in such denominations and otherwise in accordance with instructions delivered to the Warrant Agent by the Company. If requested, the Registered Holder (as defined below) of a Warrant shall be issued a definitive certificate in physical form evidencing such Warrants which shall be in the form attached hereto as Exhibit A. Physical certificates, if issued, shall be signed by, or bear the facsimile signature of, the Chairman of the board of directors of the Company (the “Board”), Chief Executive Officer, Chief Financial Officer, Secretary or other principal officer of the Company. In the event the person whose facsimile signature has been placed upon any Warrant shall have ceased to serve in the capacity in which such person signed the Warrant before such Warrant is issued, it may be issued with the same effect as if he or she had not ceased to be such at the date of issuance.

2.3.2 Registered Holder. Prior to due presentment for registration of transfer of any Warrant, the Company and the Warrant Agent may deem and treat the person in whose name such Warrant is registered in the Warrant Register (the “Registered Holder”) as the absolute owner of such Warrant and of each Warrant represented thereby (notwithstanding any notation of ownership or other writing on any physical certificate made by anyone other than the Company or the Warrant Agent), for the purpose of any exercise thereof, and for all other purposes, and neither the Company nor the Warrant Agent shall be affected by any notice to the contrary.

2.4 No Fractional Warrants Other Than as Part of Units. The Company shall not issue fractional Warrants other than as part of Units, each of which is comprised of one Ordinary Share and one-tenth of one Warrant. If, upon the detachment of Warrants from Units or otherwise, a holder of Warrants would be entitled to receive a fractional Warrant, the Company shall round down to the nearest whole number the number of Warrants to be issued to such holder.

3. Terms and Exercise of Warrants.

3.1 Warrant Price. Each whole Warrant shall entitle the Registered Holder thereof, subject to the provisions of such Warrant and of this Agreement, to purchase from the Company the number of Ordinary Shares stated therein, at the price of $11.50 per share, subject to the adjustments provided in Section 4 hereof and in the penultimate sentence of this Section 3.1. The term “Warrant Price” as used in this Agreement shall mean the price per share at which Ordinary Shares may be purchased at the time a Warrant is exercised. The Company in its sole discretion may lower the Warrant Price at any time prior to the Expiration Date (as defined below) for a period of not less than twenty (20) Business Days, provided that the Company shall provide at least twenty (20) days prior written notice of such reduction to Registered Holders of the Warrants and, provided further that any such reduction shall be identical among all of the Warrants. The term “Business Day” means a day other than a Saturday, Sunday or federal holiday on which banks in New York City are generally open for normal business.

3.2 Duration of Warrants. A Warrant may be exercised only during the period (the “Exercise Period”) commencing on the date that is thirty (30) days after the first date on which the Company completes a merger, amalgamation, share exchange, asset acquisition, share purchase, reorganization or similar business combination involving the Company and one or more businesses or entities (a “Business Combination”) and terminating upon the liquidation of the Company (the “Expiration Date”); provided, however, that the exercise of any Warrant shall be subject to the satisfaction of any applicable conditions, as set forth in Section 3.3.2 hereof, with respect to an effective registration statement. Each Warrant not exercised on or before the Expiration Date shall become null and void, and all rights thereunder and all rights in respect thereof under this Agreement shall cease at 5:00 p.m., New York City time on the Expiration Date. The Company in its sole discretion may extend the duration of the Warrants by delaying the Expiration Date; provided that the Company shall provide at least twenty (20) days prior written notice of any such extension to Registered Holders of the Warrants and, provided further that any such extension shall be identical in duration among all the Warrants.

3.3 Exercise of Warrants.

3.3.1 Payment. Subject to the provisions of the Warrant and this Agreement, a Warrant may be exercised by the Registered Holder by delivering it to the Warrant Agent at its corporate trust department with the election to purchase form, as set forth on the reverse of the Warrant, duly executed, or at the office of its successor as Warrant Agent, in the Borough of Manhattan, City and State of New York, with the subscription form, as set forth in the Warrant, duly executed, and by paying in full the Warrant Price for each full Ordinary Share as to which the Warrant is exercised and any and all applicable taxes due in connection with the exercise of the Warrant, the exchange of the Warrant for the Ordinary Shares and the issuance of such Ordinary Shares, as follows:

(a) in lawful money of the United States, by wire transfer, in good certified check or good bank draft payable to the Warrant Agent;

(b) by surrendering the Warrants for that number of Ordinary Shares per Warrant equal to the quotient obtained by dividing (x) the product of the number of Ordinary Shares underlying the Warrants, multiplied by the excess of the 10-Day Average Closing Price, as of the date prior to the date on which notice of exercise is sent or given to the Warrant Agent, less the Warrant Price by (y) the 10-Day Average Closing Price. The “10-Day Average Closing Price” means, as of any date, the average last reported sale price of the Ordinary Shares as reported during the ten (10) trading day period ending on the trading day prior to such date. The “last reported sale price” shall mean the last reported sale price of the Ordinary Shares on the date prior to the date on which notice of exercise of the Warrant is sent to the Warrant Agent; or

3.3.2 Issuance of Ordinary Shares on Exercise. As soon as practicable after the exercise of any Warrant and the clearance of the funds in payment of the Warrant Price (if payment is pursuant to Section 3.3.1(a) hereof), the Company shall issue to the Registered Holder of such Warrant a book-entry position or certificate, as applicable, for the number of full Ordinary Shares to which he, she or it is entitled, registered in such name or names as may be directed by him, her or it, and if such Warrant shall not have been exercised in full, a new book-entry position or countersigned Warrant, as applicable, for the number of Ordinary Shares as to which such Warrant shall not have been exercised. Notwithstanding the foregoing, the Company shall not be obligated to deliver any Ordinary Shares pursuant to the exercise of a Warrant and shall have no obligation to settle such Warrant exercise unless a registration statement under the Securities Act with respect to the Ordinary Shares underlying the Warrants is then effective and a prospectus relating thereto is current or a valid exemption from registration is available. No Warrant shall be exercisable and the Company shall not be obligated to issue Ordinary Shares upon exercise of a Warrant unless the Ordinary Share issuable upon such Warrant exercise has been registered, qualified or deemed to be exempt from registration or qualification under the securities laws of the state of residence of the Registered Holder of the Warrants. In the event that the conditions in the two immediately preceding sentences are not satisfied with respect to a Warrant, the holder of such Warrant shall not be entitled to exercise such Warrant. In no event will the Company be required to net cash settle the Warrant exercise. If, by reason of any exercise of Warrants on a “cashless basis,” the holder of any Warrant would be entitled, upon the exercise of such Warrant, to receive a fractional interest in an Ordinary Share, the Company shall round down to the nearest whole number the number of Ordinary Shares to be issued to such holder.

3.3.3 Valid Issuance. All Ordinary Shares issued upon the proper exercise of a Warrant in conformity with this Agreement and registered in the Company’s register of members, shall be validly issued, fully paid and non-assessable.

3.3.4 Date of Issuance. Each person in whose name any book-entry position or certificate, as applicable, for Ordinary Shares is issued shall for all purposes be deemed to have become the holder of record of such Ordinary Shares on the date on which the Warrant, or book-entry position representing such Warrant, was surrendered and payment of the Warrant Price was made, irrespective of the date of delivery of such certificate in the case of a certificated Warrant, except that, if the date of such surrender and payment is a date when the share transfer books of the Company or book-entry system of the Warrant Agent are closed, such person shall be deemed to have become the holder of such Ordinary Shares at the close of business on the next succeeding date on which the share transfer books of the Company or book-entry system of the Warrant Agent are open.

3.3.5 Maximum Percentage. A holder of a Warrant may notify the Company in writing in the event it elects to be subject to the provisions contained in this Section 3.3.5; however, no holder of a Warrant shall be subject to this Section 3.3.5 unless he, she or it makes such election. If the election is made by a holder, the Warrant Agent shall not effect the exercise of the holder’s Warrant, and such holder shall not have the right to exercise such Warrant, to the extent that after giving effect to such exercise, such person (together with such person’s affiliates), to the Warrant Agent’s actual knowledge, would beneficially own in excess of 9.8%, or such other amount as a holder may specify (the “Maximum Percentage”) of the Ordinary Shares outstanding immediately after giving effect to such exercise. For purposes of the foregoing sentence, the aggregate number of Ordinary Shares beneficially owned by such person and its affiliates shall include the number of Ordinary Shares issuable upon exercise of the Warrant with respect to which the determination of such sentence is being made, but shall exclude Ordinary Shares that would be issuable upon (x) exercise of the remaining, unexercised portion of the Warrant beneficially owned by such person and its affiliates and (y) exercise or conversion of the unexercised or unconverted portion of any other securities of the Company beneficially owned by such person and its affiliates (including, without limitation, any convertible notes or convertible preferred shares or warrants) subject to a limitation on conversion or exercise analogous to the limitation contained herein. Except as set forth in the preceding sentence, for purposes of this paragraph, beneficial ownership shall be calculated in accordance with Section 13(d) of the Securities Exchange Act of 1934, as amended (the “Exchange Act”). For purposes of the Warrant, in determining the number of outstanding Ordinary Shares, the holder may rely on the number of outstanding Ordinary Shares as reflected in (1) the Company’s most recent Annual Report on Form 10-K, Quarterly Report on Form 10-Q, Current Report on Form 8-K or other public filing with the Commission as the case may be, (2) a more recent public announcement by the Company or (3) any other notice by the Company or the Transfer Agent setting forth the number of Ordinary Shares outstanding. For any reason at any time, upon the written request of the holder of the Warrant, the Company shall, within two (2) Business Days, confirm orally and in writing to such holder the number of Ordinary Shares then outstanding. In any case, the number of issued and outstanding Ordinary Shares shall be determined after giving effect to the conversion or exercise of equity securities of the Company by the holder and its affiliates since the date as of which such number of issued and outstanding Ordinary Shares was reported. By written notice to the Company, the holder of a Warrant may from time to time increase or decrease the Maximum Percentage applicable to such holder to any other percentage specified in such notice; provided, however, that any such increase shall not be effective until the sixty-first (61st) day after such notice is delivered to the Company.

4. Adjustments.

4.1 Share Dividends.

4.1.1 Subdivisions. If after the date hereof, and subject to the provisions of Section 4.6 hereof, the number of issued and outstanding Ordinary Shares is increased by a share dividend payable in Ordinary Shares, issuance of Ordinary Shares by way of capitalization of reserves from a share premium account or capital redemption reserve or by a sub-division of Ordinary Shares or other similar event, then, on the effective date of such share dividend, capitalization, sub-division or other similar event, the number of Ordinary Shares issuable on exercise of each Warrant shall be increased in proportion to such increase in the issued and outstanding Ordinary Shares. A rights offering to holders of the Ordinary Shares entitling holders to purchase Ordinary Shares at a price less than the “Fair Market Value” (as defined below) shall be deemed a share dividend of a number of Ordinary Shares equal to the product of (i) the number of Ordinary Shares actually sold in such rights offering (or issuable under any other equity securities sold in such rights offering that are convertible into or exercisable for Ordinary Shares) multiplied by (ii) one (1) minus the quotient of (x) the price per Ordinary Share paid in such rights offering divided by (y) the Fair Market Value. For purposes of this Section 4.1.1, if the rights offering is for securities convertible into or exercisable for Ordinary Shares, in determining the price payable for such Ordinary Shares, there shall be taken into account any consideration received for such rights, as well as any additional amount payable upon exercise or conversion. “Fair Market Value” solely for purposes of this Section 4.1.1, means the 10-Day Average Closing Price as of the first (1st) date on which the Ordinary Shares trade on the applicable exchange or in the applicable market, regular way, without the right to receive such rights. Notwithstanding anything to the contrary herein, no Ordinary Shares shall be issued at less than their par value.

4.1.2 Extraordinary Dividends. If the Company, at any time while the Warrants are outstanding and unexpired, shall pay a dividend or make a distribution in cash, securities or other assets to the holders of the Ordinary Shares on account of such Ordinary Shares (or other shares of the Company into which the Warrants are convertible), other than (i) as described in Section 4.1.1 above, (ii) Ordinary Cash Dividends (as defined below), (iii) to satisfy the redemption rights of the holders of the Ordinary Shares in connection with a proposed initial Business Combination, (iv) to satisfy the redemption rights of the holders of Ordinary Shares in connection with a shareholder vote to approve an amendment to the Company’s amended and restated memorandum and articles of association (A) in a manner that would affect the substance or timing of the Company’s obligation to redeem 100% of the Ordinary Shares if the Company has not consummated its initial Business Combination within the period set forth in the Company’s amended and restated memorandum and articles of association or (B) with respect to any other provision relating to the rights of holders of the Ordinary Shares or pre-initial Business Combination activity, or (v) in connection with the redemption of the Ordinary Shares upon the Company’s failure to complete its initial Business Combination (any such non-excluded event being referred to herein as an “Extraordinary Dividend”), then the Warrant Price shall be decreased, effective immediately after the effective date of such Extraordinary Dividend, by the amount of cash and/or the fair market value of any securities or other assets paid on each Ordinary Share in respect of such Extraordinary Dividend. For purposes of this Section 4.1.2, “Ordinary Cash Dividends” means any cash dividend, cash distribution or distribution of Ordinary Shares by way of capitalization from profit and loss account which, when combined on a per share basis, with the per share amounts of all other cash dividends, cash distributions and distributions of Ordinary Shares by way of capitalization from profit and loss account paid or made on the Ordinary Shares during the 365-day period ending on the date of declaration of such dividend or distribution (as adjusted to appropriately reflect any of the events referred to in other subsections of this Section 4 and excluding cash dividends, cash distributions or distributions of Ordinary Shares by way of capitalization from profit and loss account that resulted in an adjustment to the Warrant Price or to the number of Ordinary Shares issuable on exercise of each Warrant) does not exceed $0.50 (being 5% of the offering price of the Units in the Offering).

4.2 Aggregation of Shares. If after the date hereof, and subject to the provisions of Section 4.6 hereof, the number of issued and outstanding Ordinary Shares is decreased by a consolidation, combination, reverse share sub-division or reclassification of Ordinary Shares or other similar event, then, on the effective date of such consolidation, combination, reverse share sub-division, reclassification or similar event, the number of Ordinary Shares issuable on exercise of each Warrant shall be decreased in proportion to such decrease in issued and outstanding Ordinary Shares.

4.3 Adjustments in Exercise Price. Whenever the number of Ordinary Shares purchasable upon the exercise of the Warrants is adjusted, as provided in Section 4.1.1 or Section 4.2 hereof, the Warrant Price shall be adjusted (to the nearest cent) by multiplying such Warrant Price immediately prior to such adjustment by a fraction (x) the numerator of which shall be the number of Ordinary Shares purchasable upon the exercise of the Warrants immediately prior to such adjustment, and (y) the denominator of which shall be the number of Ordinary Shares so purchasable immediately thereafter.

4.4 Replacement of Securities upon Reorganization, etc. In case of any reclassification or reorganization of the issued and outstanding Ordinary Shares (other than a change covered by Sections 4.1.1, 4.1.2 or 4.2 hereof or that solely affects the par value of such Ordinary Shares), or in the case of any merger or consolidation of the Company with or into another entity in which any “person” or “group” (as such terms are used in Sections 13(d) and 14(d) of the Exchange Act) acquires more than 50% of the voting power of the Company’s securities, or in the case of any sale or conveyance to another corporation or entity of the assets or other property of the Company as an entirety or substantially as an entirety, the holders of the Warrants shall thereafter have the right to purchase and receive, upon the basis and upon the terms and conditions specified in the Warrants and in lieu of the Ordinary Shares of the Company immediately theretofore purchasable and receivable upon the exercise of the rights represented thereby, the kind and amount of shares or other securities or property (including cash) receivable upon such reclassification, reorganization, merger or consolidation, that the holder of the Warrants would have received if such holder had exercised his, her or its Warrant(s) immediately prior to such event (the “Alternative Issuance”). If any reclassification or reorganization also results in a change in Ordinary Shares covered by Section 4.1.1 hereof, then such adjustment shall be made pursuant to Sections 4.1.1, 4.2 or 4.3 hereof and this Section 4.4. The provisions of this Section 4.4 shall similarly apply to successive reclassifications, reorganizations, mergers or consolidations, sales or other transfers. In no event will the Warrant Price be reduced to less than the par value per share issuable upon exercise of the Warrant.

4.5 Notices of Changes in Warrant. Upon every adjustment of the Warrant Price or the number of Ordinary Shares issuable upon exercise of a Warrant, the Company shall give written notice thereof to the Warrant Agent, which notice shall state the Warrant Price resulting from such adjustment and the increase or decrease, if any, in the number of Ordinary Shares purchasable at such price upon the exercise of a Warrant, setting forth in reasonable detail the method of calculation and the facts upon which such calculation is based; provided, however, that no adjustment to the number of Ordinary Shares issuable upon exercise of a Warrant shall be required until cumulative adjustments amount to one percent (1%) or more of the number of Ordinary Shares issuable upon exercise of a Warrant as last adjusted; provided, further, that any such adjustments that are not made are carried forward and taken into account in any subsequent adjustment. Notwithstanding the foregoing, all such carried forward adjustments shall be made (i) in connection with any subsequent adjustment that (taken together with such carried forward adjustments) would result in a change of at least one percent (1%) in the number of Ordinary Shares issuable upon exercise of a Warrant and (ii) on the exercise date of any Warrant. Upon the occurrence of any event specified in Sections 4.1, 4.2, 4.3 or 4.4 hereof, the Company shall give written notice of the occurrence of such event to each holder of a Warrant, at the last address set forth for such holder in the Warrant Register, of the record date or the effective date of the event. Failure to give such notice, or any defect therein, shall not affect the legality or validity of such event.

4.6 No Fractional Shares. Notwithstanding any provision contained in this Agreement to the contrary, the Company shall not issue fractional Ordinary Shares upon the exercise of Warrants. If, by reason of any adjustment made pursuant to this Section 4, the holder of any Warrant would be entitled, upon the exercise of such Warrant, to receive a fractional interest in a share, the Company shall, upon such exercise, round down to the nearest whole number of Ordinary Shares to be issued to such holder.

4.7 Form of Warrant. The form of Warrant need not be changed because of any adjustment pursuant to this Section 4, and Warrants issued after such adjustment may state the same Warrant Price and the same number of Ordinary Shares as is stated in the Warrants initially issued pursuant to this Agreement; provided, however, that the Company may at any time in its sole discretion make any change in the form of Warrant that the Company may deem appropriate and that does not affect the substance thereof, and any Warrant thereafter issued or countersigned, whether in exchange or substitution for an outstanding Warrant or otherwise, may be in the form as so changed.

5. Transfer and Exchange of Warrants.

5.1 Transferability. Subject to compliance with applicable law, the Warrants may be transferred, assigned or sold to any person.

5.2 Registration of Transfer. The Warrant Agent shall register the transfer, from time to time, of any outstanding Warrant upon the Warrant Register, upon surrender of such Warrant for transfer, in the case of a certificated warrant, properly endorsed with signatures properly guaranteed and accompanied by appropriate instructions for transfer. Upon any such transfer, a new Warrant representing an equal aggregate number of Warrants shall be issued and the old Warrant shall be cancelled by the Warrant Agent. In the case of certificated Warrants, the Warrants so cancelled shall be delivered by the Warrant Agent to the Company from time to time upon request.

5.3 Procedure for Surrender of Warrants. Warrants may be surrendered to the Warrant Agent, together with a written request for exchange or transfer, and thereupon the Warrant Agent shall issue in exchange therefor one or more new Warrants as requested by the Registered Holder of the Warrants so surrendered, representing an equal aggregate number of Warrants; provided, however, that in the event that a Warrant surrendered for transfer bears a restrictive legend, the Warrant Agent shall not cancel such Warrant and issue new Warrants in exchange thereof until the Warrant Agent has received an opinion of counsel for the Company stating that such transfer may be made and indicating whether the new Warrants must also bear a restrictive legend.

5.4 Transfers of Fractions of Warrants. The Warrant Agent shall not be required to effect any registration of transfer or exchange of Warrants which would require the issuance of a Warrant certificate or book-entry position for a fraction of a Warrant, except as part of the Units.

5.5 Service Charges. No service charge shall be made for any exchange or registration of transfer of Warrants.

5.6 Warrant Execution and Countersignature. The Warrant Agent is hereby authorized to countersign and to deliver, in accordance with the terms of this Agreement, the Warrants required to be issued pursuant to the provisions of this Section 5, and the Company, whenever required by the Warrant Agent, shall supply the Warrant Agent with Warrants duly executed on behalf of the Company for such purpose.

6. Other Provisions Relating to Rights of Holders of Warrants.

6.1 No Rights as Shareholder. A Warrant does not entitle the Registered Holder thereof to any of the rights of a shareholder of the Company, including, without limitation, the right to receive dividends, or other distributions, exercise any preemptive rights, to vote or to consent or to receive notice as shareholders in respect of the general meetings of the Company or the appointment of directors of the Company or any other matter.

6.2 Lost, Stolen, Mutilated or Destroyed Warrants. If any Warrant is lost, stolen, mutilated or destroyed, the Company and the Warrant Agent may on such terms as to indemnity or otherwise as they may in their discretion impose (which shall, in the case of a mutilated Warrant, include the surrender thereof), issue a new Warrant of like denomination, tenor and date as the Warrant so lost, stolen, mutilated or destroyed. Any such new Warrant shall constitute a substitute contractual obligation of the Company, whether or not the allegedly lost, stolen, mutilated or destroyed Warrant shall be at any time enforceable by anyone.

6.3 Reservation of Ordinary Shares. The Company shall at all times reserve and keep available a number of its authorized but unissued Ordinary Shares that shall be sufficient to permit the exercise in full of all outstanding Warrants issued pursuant to this Agreement.

6.4 Registration of the Ordinary Shares. The Company agrees that as soon as practicable, but in no event later than fifteen (15) Business Days after the closing of its initial Business Combination, it shall use its commercially reasonable efforts to file with the Commission a post-effective amendment to the Registration Statement or a new registration statement registering, under the Securities Act, the issuance of the Ordinary Shares issuable upon exercise of the Warrants. The Company shall use its commercially reasonable efforts to cause the same to become effective within sixty (60) Business Days after the closing of its initial Business Combination and to maintain the effectiveness of such post-effective amendment or registration statement, and a current prospectus relating thereto, until the expiration of the Warrants in accordance with the provisions of this Agreement.

7. Concerning the Warrant Agent and Other Matters.

7.1 Payment of Taxes. The Company shall from time to time promptly pay all taxes and charges that may be imposed upon the Company or the Warrant Agent in respect of the issuance or delivery of Ordinary Shares upon the exercise of the Warrants, but the Company shall not be obligated to pay any transfer taxes in respect of the Warrants or such Ordinary Shares.

7.2 Resignation, Consolidation, or Merger of Warrant Agent.

7.2.1 Appointment of Successor Warrant Agent. The Warrant Agent, or any successor to it hereafter appointed, may resign its duties and be discharged from all further duties and liabilities hereunder after giving sixty (60) days’ notice in writing to the Company. If the office of the Warrant Agent becomes vacant by resignation or incapacity to act or otherwise, the Company shall appoint in writing a successor Warrant Agent in place of the Warrant Agent. If the Company shall fail to make such appointment within a period of thirty (30) days after it has been notified in writing of such resignation or incapacity by the Warrant Agent or by the holder of a Warrant (who shall, with such notice, submit his, her or its Warrant for inspection by the Company), then the holder of any Warrant may apply to the Supreme Court of the State of New York for the County of New York for the appointment of a successor Warrant Agent at the Company’s cost. Any successor Warrant Agent, whether appointed by the Company or by such court, shall be a corporation or other entity organized and existing under the laws of the State of New York, in good standing and having its principal office in the Borough of Manhattan, City and State of New York, and authorized under such laws to exercise corporate trust powers and subject to supervision or examination by federal or state authority. After appointment, any successor Warrant Agent shall be vested with all the authority, powers, rights, immunities, duties and obligations of its predecessor Warrant Agent with like effect as if originally named as Warrant Agent hereunder, without any further act or deed; but if for any reason it becomes necessary or appropriate, the predecessor Warrant Agent shall execute and deliver, at the expense of the Company, an instrument transferring to such successor Warrant Agent all the authority, powers and rights of such predecessor Warrant Agent hereunder; and upon request of any successor Warrant Agent, the Company shall make, execute, acknowledge and deliver any and all instruments in writing for more fully and effectually vesting in and confirming to such successor Warrant Agent all such authority, powers, rights, immunities, duties and obligations.

7.2.2 Notice of Successor Warrant Agent. In the event a successor Warrant Agent shall be appointed, the Company shall give notice thereof to the predecessor Warrant Agent and the Transfer Agent for the Ordinary Shares not later than the effective date of any such appointment.

7.2.3 Merger or Consolidation of Warrant Agent. Any entity into which the Warrant Agent may be merged or with which it may be consolidated or any entity resulting from any merger or consolidation to which the Warrant Agent shall be a party shall be the successor Warrant Agent under this Agreement without any further act.

7.3 Fees and Expenses of Warrant Agent.

7.3.1 Remuneration. The Company agrees to pay the Warrant Agent reasonable remuneration for its services as such Warrant Agent hereunder and shall, pursuant to its obligations under this Agreement, reimburse the Warrant Agent upon demand for all expenditures that the Warrant Agent may reasonably incur in the execution of its duties hereunder.

7.3.2 Further Assurances. The Company agrees to perform, execute, acknowledge and deliver or cause to be performed, executed, acknowledged and delivered all such further and other acts, instruments and assurances as may reasonably be required by the Warrant Agent for the carrying out or performing of the provisions of this Agreement.

7.4 Liability of Warrant Agent.

7.4.1 Reliance on Company Statement. Whenever in the performance of its duties under this Agreement, the Warrant Agent shall deem it necessary or desirable that any fact or matter be proved or established by the Company prior to taking or suffering any action hereunder, such fact or matter (unless other evidence in respect thereof be herein specifically prescribed) may be deemed to be conclusively proved and established by a statement signed by a Chief Executive Officer, Chief Financial Officer, Secretary or Chairman of the Board of the Company and delivered to the Warrant Agent. The Warrant Agent may rely upon such statement for any action taken or suffered in good faith by it pursuant to the provisions of this Agreement.

7.4.2 Indemnity. The Warrant Agent shall be liable hereunder only for its own, or its representatives’, gross negligence, willful misconduct, fraud, bad faith or material breach of this Agreement. The Company agrees to indemnify the Warrant Agent and save it harmless against any and all liabilities, including judgments, out-of-pocket costs and reasonable counsel fees, for anything done or omitted by the Warrant Agent in the execution of this Agreement, except as a result of the Warrant Agent’s or its representatives’ gross negligence, willful misconduct, fraud, bad faith or material breach of this Agreement.

7.4.3 Exclusions. The Warrant Agent shall have no responsibility with respect to the validity of this Agreement or with respect to the validity or execution of any Warrant (except its countersignature thereof). The Warrant Agent shall not be responsible for any breach by the Company of any covenant or condition contained in this Agreement or in any Warrant. The Warrant Agent shall not be responsible to make any adjustments required under the provisions of Section 4 hereof or responsible for the manner, method or amount of any such adjustment or the ascertaining of the existence of facts that would require any such adjustment; nor shall it by any act hereunder be deemed to make any representation or warranty as to the authorization or reservation of any Ordinary Shares to be issued pursuant to this Agreement or any Warrant or as to whether any Ordinary Shares shall, when issued, be valid and fully paid and non-assessable.

7.5 Acceptance of Agency. The Warrant Agent ▇▇▇▇▇▇ accepts the agency established by this Agreement and agrees to perform the same upon the terms and conditions herein set forth and among other things, shall account promptly to the Company with respect to Warrants exercised and concurrently account for, and pay to the Company, all monies received by the Warrant Agent for the purchase of Ordinary Shares through the exercise of the Warrants.

7.6 Waiver. The Warrant Agent has no right of set-off or any other right, title, interest or claim of any kind (“Claim”) in, or to any distribution of, the Trust Account (as defined in that certain Investment Management Trust Agreement, dated as of the date hereof, by and between the Company and the Warrant Agent as trustee thereunder) and hereby agrees not to seek recourse, reimbursement, payment or satisfaction for any Claim against the Trust Account for any reason whatsoever. The Warrant Agent hereby waives any and all Claims against the Trust Account and any and all rights to seek access to the Trust Account.

8. Miscellaneous Provisions.

8.1 Successors. All the covenants and provisions of this Agreement by or for the benefit of the Company or the Warrant Agent shall bind and inure to the benefit of their respective successors and assigns.

8.2 Notices. Any notice, statement or demand authorized by this Agreement to be given or made by the Warrant Agent or by the holder of any Warrant to or on the Company shall be sufficiently given when so delivered if by hand or overnight delivery or if sent by certified mail or private courier service within five (5) days after deposit of such notice, postage prepaid, addressed (until another address is filed in writing by the Company with the Warrant Agent), as follows:

▇▇▇▇▇▇▇▇▇ Capital Corp XIII

▇▇▇ ▇▇▇▇▇ ▇▇▇▇▇▇, ▇▇▇▇ ▇▇▇▇▇

New York, NY 10019

(▇▇▇) ▇▇▇-▇▇▇▇

Attention: ▇▇▇ ▇▇▇▇▇▇▇

Email: ▇▇▇.▇▇▇▇▇▇▇@▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇.▇▇▇

Any notice, statement or demand authorized by this Agreement to be given or made by the holder of any Warrant or by the Company to or on the Warrant Agent shall be sufficiently given when so delivered if by hand or overnight delivery or if sent by certified mail or private courier service within five (5) days after deposit of such notice, postage prepaid, addressed (until another address is filed in writing by the Warrant Agent with the Company), as follows:

Continental Stock Transfer & Trust Company

▇ ▇▇▇▇▇ ▇▇▇▇▇▇, ▇▇▇▇ ▇▇▇▇▇

New York, NY 10004

Attention: ▇▇▇▇▇▇▇ ▇▇▇▇ and ▇▇▇▇▇▇▇ ▇▇▇▇▇▇▇▇

Email: ▇▇▇▇▇@▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇.▇▇▇

Email: ▇▇▇▇▇▇▇▇▇@▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇.▇▇▇

8.3 Applicable Law. The validity, interpretation, and performance of this Agreement and of the Warrants shall be governed in all respects by the laws of the State of New York, without giving effect to conflicts of law principles that would result in the application of the substantive laws of another jurisdiction. The Company hereby agrees that any action, proceeding or claim against it arising out of or relating in any way to this Agreement, including under the Securities Act, shall be brought and enforced in the courts of the State of New York or the United States District Court for the Southern District of New York, and irrevocably submits to such jurisdiction, which jurisdiction shall be exclusive; provided, however, that the foregoing shall not apply to suits brought to enforce any liability or duty created by the Exchange Act or any other claim for which the federal district courts of the United States of America are the sole and exclusive forum. The Company hereby waives any objection to such exclusive jurisdiction and that such courts represent an inconvenient forum.

8.4 Persons Having Rights under this Agreement. Nothing in this Agreement shall be construed to confer upon, or give to, any person, corporation or other entity other than the parties hereto and the Registered Holders of the Warrants any right, remedy or claim under or by reason of this Agreement or of any covenant, condition, stipulation, promise or agreement hereof. All covenants, conditions, stipulations, promises and agreements contained in this Agreement shall be for the sole and exclusive benefit of the parties hereto and their successors and assigns and of the Registered Holders of the Warrants.

8.5 Examination of the Warrant Agreement. A copy of this Agreement shall be available at all reasonable times at the office of the Warrant Agent in the Borough of Manhattan, City and State of New York, for inspection by the Registered Holder of any Warrant. The Warrant Agent may require any such holder to submit such holder’s Warrant for inspection by the Warrant Agent.

8.6 Counterparts. This Agreement may be executed in any number of original or facsimile counterparts and each of such counterparts shall for all purposes be deemed to be an original, and all such counterparts shall together constitute but one and the same instrument.

8.7 Effect of Headings. The section headings herein are for convenience only and are not part of this Agreement and shall not affect the interpretation thereof.

8.8 Amendments. This Agreement may be amended by the parties hereto without the consent of any Registered Holder for the purpose of (i) curing any ambiguity or to correct any mistake, including to conform the provisions hereof to the description of the terms of the Warrants and this Agreement set forth in the Prospectus or (ii) adding or changing any provisions with respect to matters or questions arising under this Agreement as the parties may deem necessary or desirable and that the parties deem shall not adversely affect the rights of the Registered Holders. All other modifications or amendments, including any modification or amendment to increase the Warrant Price or shorten the Exercise Period, shall require the vote or written consent of the Registered Holders of fifty percent (50%) of the then outstanding Warrants. Notwithstanding the foregoing, the Company may lower the Warrant Price or extend the duration of the Exercise Period pursuant to Sections 3.1 and 3.2 hereof, respectively, without the consent of the Registered Holders.

8.9 Severability. This Agreement shall be deemed severable, and the invalidity or unenforceability of any term or provision hereof shall not affect the validity or enforceability of this Agreement or of any other term or provision hereof. Furthermore, in lieu of any such invalid or unenforceable term or provision, the parties hereto intend that there shall be added as a part of this Agreement a provision as similar in terms to such invalid or unenforceable provision as may be possible and be valid and enforceable.

[Signature Page Follows]

IN WITNESS WHEREOF, the parties hereto have caused this Agreement to be duly executed as of the date first above written.

▇▇▇▇▇▇▇▇▇ CAPITAL CORP XIII

By:
Name:	▇▇▇ ▇▇▇▇▇▇▇
Title:	Chief Financial Officer

CONTINENTAL STOCK TRANSFER &

TRUST COMPANY, as Warrant Agent

By:
Name:	▇▇▇▇▇ ▇▇▇▇▇
Title:	Vice President

Signature Page to

Private Warrant Agreement

EXHIBIT A

[Form of Warrant Certificate]

[FACE]

Number

Warrants

THIS WARRANT SHALL BE NULL AND VOID IF NOT EXERCISED PRIOR TO

THE EXPIRATION OF THE EXERCISE PERIOD PROVIDED FOR

IN THE WARRANT AGREEMENT DESCRIBED BELOW

▇▇▇▇▇▇▇▇▇ CAPITAL CORP XIII

Incorporated Under the Laws of the Cayman Islands

CUSIP

Warrant Certificate

This Warrant Certificate certifies that, or registered assigns, is the registered holder of warrant(s) evidenced hereby (the “Warrants” and each, a “Warrant”) to purchase Class A ordinary shares, $0.0001 par value per share (“Ordinary Shares”), of ▇▇▇▇▇▇▇▇▇ Capital Corp XIII, a Cayman Islands exempted company (the “Company”). Each Warrant entitles the holder, upon exercise during the period set forth in the Warrant Agreement referred to below, to receive from the Company that number of fully paid and non-assessable Ordinary Shares as set forth below, at the exercise price (the “Exercise Price”) as determined pursuant to the Warrant Agreement, payable in lawful money of the United States of America (or through “cashless exercise” as provided for in the Warrant Agreement) upon surrender of this Warrant Certificate and payment of the Exercise Price at the office or agency of the Warrant Agent referred to below, subject to the conditions set forth herein and in the Warrant Agreement. Defined terms used in this Warrant Certificate but not defined herein shall have the meanings given to them in the Warrant Agreement.

Each whole Warrant is initially exercisable for one fully paid and non-assessable Ordinary Share. Fractional shares of ordinary shares shall not be issued upon exercise of any Warrant. If, upon the exercise of Warrants, a holder would be entitled to receive a fractional interest in an Ordinary Share, the Company shall, upon exercise, round down to the nearest whole number of Ordinary Shares to be issued to the warrant holder. The number of Ordinary Shares issuable upon exercise of the Warrants is subject to adjustment upon the occurrence of certain events as set forth in the Warrant Agreement.

The initial Exercise Price is equal to $11.50 per share. The Exercise Price is subject to adjustment upon the occurrence of certain events as set forth in the Warrant Agreement.

Subject to the conditions set forth in the Warrant Agreement, the Warrants may be exercised only during the Exercise Period and to the extent not exercised by the end of such Exercise Period, such Warrants shall become void.

Reference is hereby made to the further provisions of this Warrant Certificate set forth on the reverse hereof and such further provisions shall for all purposes have the same effect as though fully set forth at this place.

This Warrant Certificate shall not be valid unless countersigned by the Warrant Agent, as such term is used in the Warrant Agreement.

This Warrant Certificate shall be governed by and construed in accordance with the internal laws of the State of New York, without regard to conflicts of laws principles thereof.

▇▇▇▇▇▇▇▇▇ CAPITAL CORP XIII

By:
Name:
Title:

CONTINENTAL STOCK TRANSFER

& TRUST COMPANY, as Warrant Agent

By:
Name:
Title:

[Form of Warrant Certificate]

[Reverse]

The Warrants evidenced by this Warrant Certificate are part of a duly authorized issue of Warrants entitling the holder on exercise to receive Ordinary Shares and are issued or to be issued pursuant to a Warrant Agreement dated as of ________, 2026 (the “Warrant Agreement”), duly executed and delivered by the Company to Continental Stock Transfer & Trust Company, a New York corporation, as warrant agent (the “Warrant Agent”), which Warrant Agreement is hereby incorporated by reference in and made a part of this instrument and is hereby referred to for a description of the rights, limitation of rights, obligations, duties and immunities thereunder of the Warrant Agent, the Company and the holders (the words “holders” or “holder” meaning the Registered Holders or Registered Holder, respectively) of the Warrants. A copy of the Warrant Agreement may be obtained by the holder hereof upon written request to the Company. Defined terms used in this Warrant Certificate but not defined herein shall have the meanings given to them in the Warrant Agreement.

Warrants may be exercised at any time during the Exercise Period set forth in the Warrant Agreement. The holder of Warrants evidenced by this Warrant Certificate may exercise them by surrendering this Warrant Certificate, with the form of election to purchase set forth hereon properly completed and executed, together with payment of the Exercise Price as specified in the Warrant Agreement (or through “cashless exercise” as provided for in the Warrant Agreement) at the principal corporate trust office of the Warrant Agent. In the event that upon any exercise of Warrants evidenced hereby the number of Warrants exercised shall be less than the total number of Warrants evidenced hereby, there shall be issued to the holder hereof or his, her or its assignee, a new Warrant Certificate evidencing the number of Warrants not exercised.

Notwithstanding anything else in this Warrant Certificate or the Warrant Agreement, no Warrant may be exercised unless at the time of exercise (i) a registration statement covering the Ordinary Shares to be issued upon exercise is effective under the Securities Act and (ii) a prospectus thereunder relating to the Ordinary Shares is current, except through “cashless exercise” as provided for in the Warrant Agreement.

The Warrant Agreement provides that upon the occurrence of certain events the number of Ordinary Shares issuable upon exercise of the Warrants and the Exercise Price set forth on the face hereof may, subject to certain conditions, be adjusted. If, upon exercise of a Warrant, the holder thereof would be entitled to receive a fractional interest in an Ordinary Share, the Company shall, upon exercise, round down to the nearest whole number of Ordinary Shares to be issued to the holder of the Warrant.

Warrant Certificates, when surrendered at the principal corporate trust office of the Warrant Agent by the Registered Holder thereof in person or by legal representative or attorney duly authorized in writing, may be exchanged, in the manner and subject to the limitations provided in the Warrant Agreement, but without payment of any service charge, for another Warrant Certificate or Warrant Certificates of like tenor evidencing in the aggregate a like number of Warrants.

Upon due presentation for registration of transfer of this Warrant Certificate at the office of the Warrant Agent a new Warrant Certificate or Warrant Certificates of like tenor and evidencing in the aggregate a like number of Warrants shall be issued to the transferee(s) in exchange for this Warrant Certificate, subject to the limitations provided in the Warrant Agreement, without charge except for any tax or other governmental charge imposed in connection therewith.

The Company and the Warrant Agent may deem and treat the Registered Holder(s) hereof as the absolute owner(s) of this Warrant Certificate (notwithstanding any notation of ownership or other writing hereon made by anyone), for the purpose of any exercise hereof, of any distribution to the holder(s) hereof, and for all other purposes, and neither the Company nor the Warrant Agent shall be affected by any notice to the contrary. Neither the Warrants nor this Warrant Certificate entitles any holder hereof to any rights of a shareholder of the Company.

Election to Purchase

(To Be Executed Upon Exercise of Warrant)

The undersigned hereby irrevocably elects to exercise the right, represented by this Warrant Certificate, to receive Ordinary Shares and herewith tenders payment for such Ordinary Shares to the order of ▇▇▇▇▇▇▇▇▇ Capital Corp XIII (the “Company”) in the amount of $ in accordance with the terms hereof. The undersigned requests that the share transfer books of the Company be updated to reflect the issuance of such Ordinary Shares and a certificate for such Ordinary Shares be registered in the name of __________, whose address is and that such Ordinary Shares be delivered to whose address is __________. If said number of Ordinary Shares is less than all of the Ordinary Shares purchasable hereunder, the undersigned requests that a new Warrant Certificate representing the remaining balance of such Ordinary Shares be registered in the name of __________, whose address is __________, and that such Warrant Certificate be delivered to __________, whose address is __________.

In the event that the Warrant is to be exercised on a “cashless basis” pursuant to Section 3.3.1(b) of the Warrant Agreement, the number of Ordinary Shares that this Warrant is exercisable for shall be determined in accordance with Section 3.3.1(b) of the Warrant Agreement.

In the event that the Warrant may be exercised, to the extent allowed by the Warrant Agreement, through cashless exercise (i) the number of Ordinary Shares that this Warrant is exercisable for would be determined in accordance with the relevant section of the Warrant Agreement which allows for such cashless exercise and (ii) the holder hereof shall complete the following:

The undersigned hereby irrevocably elects to exercise the right, represented by this Warrant Certificate, through the cashless exercise provisions of the Warrant Agreement, to receive Ordinary Shares. If said number of Ordinary Shares is less than all of the Ordinary Shares purchasable hereunder (after giving effect to the cashless exercise), the undersigned requests that a new Warrant Certificate representing the remaining balance of such Ordinary Shares be registered in the name of __________, whose address is __________, and that such Warrant Certificate be delivered to __________, whose address is __________.

[Signature Page Follows]

Date:

(Signature)

(Address)

(Tax Identification Number)

Signature Guaranteed:

THE SIGNATURE(S) SHOULD BE GUARANTEED BY AN ELIGIBLE GUARANTOR INSTITUTION (BANKS, STOCKBROKERS, SAVINGS AND LOAN ASSOCIATIONS AND CREDIT UNIONS WITH MEMBERSHIP IN AN APPROVED SIGNATURE GUARANTEE MEDALLION PROGRAM, PURSUANT TO THE U.S. SECURITIES AND EXCHANGE COMMISSION RULE 17Ad-15 (OR ANY SUCCESSOR RULE) UNDER THE SECURITIES EXCHANGE ACT OF 1934, AS AMENDED).

EXHIBIT B

LEGEND

“THE SECURITIES REPRESENTED BY THIS CERTIFICATE HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT OF 1933, AS AMENDED, OR ANY STATE SECURITIES LAWS, AND MAY NOT BE OFFERED, SOLD, TRANSFERRED OR OTHERWISE DISPOSED OF UNLESS REGISTERED UNDER THE SECURITIES ACT OF 1933, AS AMENDED, AND ANY APPLICABLE STATE SECURITIES LAWS OR AN EXEMPTION FROM REGISTRATION IS AVAILABLE. IN ADDITION, THE SECURITIES REPRESENTED BY THIS CERTIFICATE ARE SUBJECT TO ADDITIONAL LIMITATIONS ON TRANSFER DESCRIBED IN THE LETTER AGREEMENT BY AND AMONG ▇▇▇▇▇▇▇▇▇ CAPITAL CORP XIII (THE “COMPANY”), ▇▇▇▇▇▇▇▇▇ SPONSOR XIII LLC AND THE OTHER PARTIES THERETO.

SECURITIES EVIDENCED BY THIS CERTIFICATE AND CLASS A ORDINARY SHARES OF THE COMPANY ISSUED UPON EXERCISE OF SUCH SECURITIES SHALL BE ENTITLED TO REGISTRATION RIGHTS UNDER A REGISTRATION RIGHTS AGREEMENT TO BE EXECUTED BY THE COMPANY.”

PRIVATE WARRANT AGREEMENT between CHURCHILL CAPITAL CORP XIII and CONTINENTAL STOCK TRANSFER & TRUST COMPANY Dated as of ________, 2026

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