EX-10.2

Exhibit 10.2

LOCK-UP AGREEMENT

THIS LOCK-UP AGREEMENT (this “Agreement”) is made and entered into as of September 23, 2026, by and between (i) ONE Nuclear Energy Inc., a Delaware corporation (formerly known as Hennessy Capital Investment Corp. VII, a Cayman Islands exempted company) (the “Company”), and (ii) the undersigned (“Holder”). Any capitalized term used but not defined in this Agreement will have the meaning ascribed to such term in the BCA (as defined herein). Company and Holder may be referred to herein individually as a “Party” and collectively as the “Parties.”

WHEREAS, on October 22, 2025, the Company, ONE Nuclear Energy, LLC (“ONE”), Solis Merger Sub LLC (“Merger Sub”), and certain other persons entered into that certain Business Combination Agreement, as amended by that certain Omnibus Amendment No. 1, dated as of March 31, 2026, that certain Omnibus Amendment No. 2, dated as of June 1, 2026 and that certain Omnibus Amendment No. 3, dated as of August 7, 2026 (as amended and as may be further amended, modified, or supplemented from time to time, the “BCA”), pursuant to which, subject to the terms and conditions thereof, the Company will redomesticate and continue as a Delaware corporation named ONE Nuclear Energy Inc., and Merger Sub will merge with and into ONE, with the merged company surviving as a wholly-owned subsidiary of the Company (the “Merger”), and with ONE’s equityholders receiving shares (the “Merger Shares”) of the post-redomestication Company’s common stock, par value $0.0001 per share (the “Company Common Stock”);

WHEREAS, upon the Closing, Holder will be a holder of Company Common Stock; and

WHEREAS, pursuant to the BCA, and in view of the valuable consideration to be received by Holder thereunder, the Parties desire to enter into this Agreement, pursuant to which, (1) any securities issued upon conversion of the Purchaser Class B Ordinary Shares and (2) the Merger Shares (all such securities, together with any securities paid as dividends or distributions with respect to such securities or into which such securities are exchanged or converted, the “Restricted Securities”) shall become subject to limitations on disposition as set forth herein.

NOW, THEREFORE, in consideration of the premises set forth above, which are incorporated in this Agreement as if fully set forth below, and intending to be legally bound hereby, the Parties hereby agree as follows:

(a) Holder hereby agrees not to, during the period commencing on the Closing and ending on the earlier of (x) the six month anniversary of the Closing Date, (y) such date that the reported last sale price of the Company Common Stock equals or exceeds $11.00 per share (as adjusted for share splits, share dividends, right issuances, reorganizations, recapitalizations and the like) for any twenty (20) trading days within any thirty (30) consecutive trading day period commencing after the Closing, and (z) the date after the Closing on which the Company consummates a liquidation, merger, capital stock exchange, reorganization or other similar transaction with an unaffiliated third party that results in all of the Company’s stockholders having the right to exchange their Company Common Stock for cash, securities or other property (the “Lock-Up Period”): (i) lend, offer, pledge, hypothecate, encumber, donate, assign, sell, contract to sell, sell any option or contract to purchase, purchase any option or contract to sell, grant any option, right or warrant to purchase, or otherwise transfer or dispose of, directly or indirectly, any Restricted Securities, (ii) enter into any swap or other arrangement that transfers to another, in whole or in part, any of the economic consequences of ownership of the Restricted Securities, or (iii) publicly disclose the intention to do any of the foregoing, whether any such transaction described in clauses (i), (ii) or (iii) above is to be settled by delivery of Restricted Securities or other securities, in cash or otherwise (any of the foregoing described in clauses (i), (ii) or (iii), a “Prohibited Transfer”). The foregoing restrictions shall not apply to (I) the transfer of any or all of the Restricted Securities owned by Holder (A) by gift, will or intestate succession upon the death of Holder, (B) to any Permitted Transferee (as defined below), or (C) pursuant to a court order or settlement agreement related to the distribution of assets in connection with the dissolution of marriage or civil union, (II) the transfer of up to five percent (5%) of Holder’s Restricted Securities in pledges in a bona fide transaction to third parties as collateral to secure obligations pursuant to lending or other arrangements between such third parties (or their affiliates or designees) and Holder and/or its affiliates or any similar arrangement relating to a financing arrangement for the benefit of Holder, or (III) the transfer of any or all of the Restricted Securities owned by Holder pursuant to any “piggyback” registration rights under the A&R Registration Rights Agreement; provided, however, that in any of cases (I)(A), (I)(B) or (I)(C), it shall be a condition to such transfer that the transferee executes and delivers to the Company an agreement stating that the transferee is receiving and holding the Restricted Securities subject to the provisions of this Agreement applicable to Holder, and there shall be no further transfer of such Restricted Securities except in accordance with this Agreement. As used in this Agreement, the term “Permitted Transferee” shall mean: (1) the members of Holder’s immediate family (for purposes of this Agreement, “immediate family” shall mean with respect to any natural person, any of the following: such person’s spouse or domestic partner, the siblings of such person and his or her spouse or domestic partner, and the direct descendants and ascendants (including adopted and step children and parents) of such person and his or her spouses or domestic partners and siblings) or Holder’s affiliates, (2) any trust for the direct or indirect benefit of Holder or affiliates or the immediate family of Holder, (3) if Holder is a trust, the trustor or beneficiary of such trust or the estate of a beneficiary of such trust, (4) in the case of an entity, any partner, member, manager, investment manager or equityholder of such entity that receives such transfer as a distribution or a dividend, (5) any charitable organization, (6) any transferee to satisfy any U.S. federal, state, or local income tax obligations of Holder (or its direct or indirect owners) arising from Holder’s ownership (including prior to and after the Business Combination) of the Restricted Securities or any interests in the Company, in each case solely and to the extent necessary to cover any tax liability as a direct result of such ownership of the Restricted Securities or any interests in the Company, (7) any transferee whereby there is no change in beneficial ownership, and (8) the nominee or custodian of any of the foregoing persons or entities. Holder further agrees to execute such agreements as may be reasonably requested by the Company that are consistent with the foregoing or that are necessary to give further effect thereto.

(b) If any Prohibited Transfer is made or attempted contrary to the provisions of this Agreement, such purported Prohibited Transfer shall be null and void ab initio, and the Company shall refuse to recognize any such purported transferee of the Restricted Securities as one of its equityholders for any purpose. In order to enforce this Section 1, the Company may impose stop-transfer instructions with respect to the Restricted Securities of Holder (and Permitted Transferees and assigns thereof) until the end of the Lock-Up Period except in compliance with the foregoing restrictions.

(c) During the Lock-Up Period, each certificate (or book-entry) evidencing any Restricted Securities subject to the restrictions set forth in Section 1(a) shall be stamped or otherwise imprinted with a legend (which the Company shall cause to be promptly removed as soon as possible following the end of the Lock-Up Period), in substantially the following form, in addition to any other applicable legends:

“THE SECURITIES REPRESENTED HEREBY ARE SUBJECT TO RESTRICTIONS ON TRANSFER SET FORTH IN A LOCK-UP AGREEMENT, DATED AS OF SEPTEMBER 23, 2026, BY AND BETWEEN THE ISSUER OF SUCH SECURITIES (THE “ISSUER”) AND THE ISSUER’S SECURITY HOLDER NAMED THEREIN, AS AMENDED. A COPY OF SUCH LOCK-UP AGREEMENT WILL BE FURNISHED WITHOUT CHARGE BY THE ISSUER TO THE HOLDER HEREOF UPON WRITTEN REQUEST.”

(d) For the avoidance of any doubt, Holder shall retain all of its rights as a stockholder of the Company during the Lock-Up Period, including the right to vote any Restricted Securities.

(a) Binding Effect; Assignment. This Agreement and all of the provisions hereof shall be binding upon and inure to the benefit of the Parties and their respective permitted successors and assigns. This Agreement and all obligations of Holder are personal to Holder and may not be transferred or delegated by Holder at any time, except to a Permitted Transferee. The Company may freely assign any or all of its rights under this Agreement, in whole or in part, to any successor entity (whether by merger, consolidation, equity sale, asset sale or otherwise) without obtaining the consent or approval of Holder.

(b) Third Parties. Nothing contained in this Agreement shall create any rights in, or be deemed to have been executed for the benefit of, any person or entity that is not a Party or a successor or permitted assign of such a Party.

(c) Governing Law; Jurisdiction. This Agreement shall be governed by, and construed and interpreted in accordance with the laws of the State of Delaware. Without prejudice to the ability of any Party to enforce this Agreement in any other proper jurisdiction, each of the Parties irrevocably and unconditionally submits and attorns to the non-exclusive jurisdiction of the courts of the State of Delaware to determine all issues, whether at law or in equity, arising from this Agreement. To the extent permitted by applicable Law, each Party:

(d) WAIVER OF JURY TRIAL. EACH OF THE PARTIES HERETO HEREBY WAIVES TO THE FULLEST EXTENT PERMITTED BY APPLICABLE LAW ANY RIGHT IT MAY HAVE TO A TRIAL BY JURY WITH RESPECT TO ANY ACTION DIRECTLY OR INDIRECTLY ARISING OUT OF, UNDER OR IN CONNECTION WITH THIS AGREEMENT OR THE TRANSACTIONS CONTEMPLATED HEREBY. EACH PARTY HERETO (i) CERTIFIES THAT NO REPRESENTATIVE OF ANY OTHER PARTY HAS REPRESENTED, EXPRESSLY OR OTHERWISE, THAT SUCH OTHER PARTY WOULD NOT, IN THE EVENT OF ANY ACTION, SEEK TO ENFORCE THE FOREGOING WAIVER AND (ii) ACKNOWLEDGES THAT IT AND THE OTHER PARTIES HERETO HAVE BEEN INDUCED TO ENTER INTO THIS AGREEMENT BY, AMONG OTHER THINGS, THE MUTUAL WAIVERS AND CERTIFICATIONS IN THIS SECTION 2(d).

(e) Interpretation. The titles and subtitles used in this Agreement are for convenience only and are not to be considered in construing or interpreting this Agreement. In this Agreement, unless the context otherwise requires: (i) any pronoun used in this Agreement shall include the corresponding masculine, feminine or neuter forms, and the singular form of nouns, pronouns and verbs shall include the plural and vice versa; (ii) “including” (and with correlative meaning “include”) means including without limiting the generality of any description preceding or succeeding such term and shall be deemed in each case to be followed by the words “without limitation”; (iii) the words “herein,” “hereto,” and “hereby” and other words of similar import in this Agreement shall be deemed in each case to refer to this Agreement as a whole and not to any particular section or other subdivision of this Agreement; and (iv) the term “or” means “and/or”. The Parties have participated jointly in the negotiation and drafting of this Agreement. Consequently, in the event an ambiguity or question of intent or interpretation arises, this Agreement shall be construed as if drafted jointly by the Parties, and no presumption or burden of proof shall arise favoring or disfavoring any Party by virtue of the authorship of any provision of this Agreement.

(f) Notices. All notices, consents, waivers and other communications hereunder shall be in writing and shall be deemed to have been duly given when delivered (i) in person, (ii) by email or other electronic means, with affirmative confirmation of receipt, or (iii) one Business Day after being sent, if sent by reputable, nationally recognized overnight courier service, pre-paid and return receipt requested, in each case to the applicable Party at the following addresses (or at such other address for a Party as shall be specified by like notice):

If to the Company, to:

ONE Nuclear Energy Inc.

2310 1st Street

Suite 603

Fort Myers, FL 33901

Attn: Richard Taylor and Kevin Dowd

Email: rtaylor@onenuclearenergy.com;

kdowd@onenuclearenergy.com

with a copy to:

Rose & Ward PLLC

680 North Lake Shore Drive

Suite 110

Chicago, IL 60611

Attention: Cassi Olson

Email: crose@rosewardpllc.com

If to Holder, to: the address set forth below Holder’s name on the signature page to this Agreement.

(g) Amendments and Waivers. Any term of this Agreement may be amended and the observance of any term of this Agreement may be waived (either generally or in a particular instance, and either retroactively or prospectively) only with the written consent of the Company and Holder. No failure or delay by a Party in exercising any right hereunder shall operate as a waiver thereof. No waivers of or exceptions to any term, condition, or provision of this Agreement, in any one or more instances, shall be deemed to be or construed as a further or continuing waiver of any such term, condition, or provision. The Company shall not amend or waive any similar lock-up restrictions agreed with any other stockholders of the Company or otherwise release any such stockholder of the Company from such lock-up restrictions, unless the Company extends such amendment, waiver and/or release to Holder. The Company shall provide at least ten (10) Business Days’ advance written notice to Holder of any such amendment or waiver.

(h) Authorization on Behalf of the Company. The Parties acknowledge and agree that notwithstanding anything to the contrary contained in this Agreement, any and all determinations, actions or other authorizations under this Agreement on behalf of the Company, including enforcing the Company’s rights and remedies under this Agreement, or providing any waivers with respect to the provisions hereof, shall solely be made, taken and authorized by the majority of the Company’s disinterested directors (the “Disinterested Directors”). In the event that the Company at any time does not have any Disinterested Directors, so long as Holder has any remaining obligations under this Agreement, the Company will promptly appoint one in connection with this Agreement. Without limiting the foregoing, in the event that Holder or Holder’s Affiliate serves as a director, officer, employee or other authorized agent of the Company or any of its current or future Affiliates, Holder and/or Holder’s Affiliate shall have no authority, express or implied, to act or make any determination on behalf of the Company or any of its current or future Affiliates in connection with this Agreement or any dispute or action with respect hereto.

(i) Severability. In case any provision in this Agreement shall be held invalid, illegal or unenforceable in a jurisdiction, such provision shall be modified or deleted, as to the jurisdiction involved, only to the extent necessary to render the same valid, legal and enforceable, and the validity, legality and enforceability of the remaining provisions hereof shall not in any way be affected or impaired thereby nor shall the validity, legality or enforceability of such provision be affected thereby in any other jurisdiction. Upon such determination that any term or other provision is invalid, illegal or incapable of being enforced, the Parties will substitute for any invalid, illegal or unenforceable provision a suitable and equitable provision that carries out, so far as may be valid, legal and enforceable, the intent and purpose of such invalid, illegal or unenforceable provision.

(j) Specific Performance. Holder acknowledges that its obligations under this Agreement are unique, recognizes and affirms that in the event of a breach of this Agreement by Holder, money damages will be inadequate and the Company will have no adequate remedy at law, and agrees that irreparable damage would occur in the event that any of the provisions of this Agreement were not performed by Holder in accordance with their specific terms or were otherwise breached. Accordingly, the Company shall be entitled to an injunction or restraining order to prevent breaches of this Agreement by Holder and to enforce specifically the terms and provisions hereof, without the requirement to post any bond or other security or to prove that money damages would be inadequate, this being in addition to any other right or remedy to which the Company may be entitled under this Agreement, at law or in equity.

(k) Entire Agreement. This Agreement constitutes the full and entire understanding and agreement among the Parties with respect to the subject matter hereof, and any other written or oral agreement relating to the subject matter hereof existing between the Parties is expressly canceled; provided, however, that, for the avoidance of doubt, the foregoing shall not affect the rights and obligations of the Parties under the BCA or any Ancillary Document. Notwithstanding the foregoing, nothing in this Agreement shall limit any of the rights or remedies of the Company or any of the obligations of Holder under any other agreement between Holder and the Company or any certificate or instrument executed by Holder in favor of the Company, and nothing in any other agreement, certificate or instrument shall limit any of the rights or remedies of the Company or any of the obligations of Holder under this Agreement.

(l) Further Assurances. From time to time, at another Party’s request and without further consideration (but at the requesting Party’s reasonable cost and expense), each Party shall execute and deliver such additional documents and take all such further action as may be reasonably necessary to consummate the transactions contemplated by this Agreement.

(m) Counterparts; Electronic Signatures. This Agreement may also be executed and delivered electronically, by facsimile signature or by email in portable document format in two or more counterparts, each of which shall be deemed an original, but all of which together shall constitute one and the same instrument. In the event that any signature is delivered by facsimile transmission or any other form of electronic delivery, such signature shall create a valid and binding obligation of the Party executing (or on whose behalf such signature is executed) with the same force and effect as if such signature page were an original thereof. This Agreement may be delivered via facsimile, electronic mail (including any electronic signature covered by the U.S. federal ESIGN Act of 2000, Uniform Electronic Transactions Act, the Electronic Signatures and Records Act or other applicable law (e.g., www.docusign.com)) or other transmission method and any counterpart so delivered shall be deemed to have been duly and validly delivered and be valid and effective for all purposes.

(n) Effectiveness. This Agreement shall be binding upon Holder upon Holder’s execution and delivery of this Agreement, but this Agreement shall only become effective upon the Closing. In the event that the BCA is validly terminated in accordance with its terms prior to the consummation of the Merger, this Agreement shall automatically terminate and become null and void, and the Parties shall have no obligations hereunder.

[Remainder of Page Intentionally Left Blank; Signature Pages Follow]

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IN WITNESS WHEREOF, the Parties have executed this Agreement as of the date first written above.

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{Additional Signature on the Following Page}

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{Signature Page to Lock-Up Agreement}

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IN WITNESS WHEREOF, the Parties have executed this Lock-Up Agreement as of the date first written above.

Number of Shares of Company Common Stock to be issued:

Shares of Company Common Stock: _____________________________

Address for Notice:

_______________________________

_______________________________

_______________________________

_______________________________

Email: _____________________________

{Signature Page to Lock-Up Agreement}

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