Exhibit 10.13

CERTAIN IDENTIFIED INFORMATION HAS BEEN EXCLUDED FROM THE EXHIBIT BECAUSE IT IS BOTH NOT MATERIAL AND IS THE TYPE THAT THE REGISTRANT TREATS AS PRIVATE OR CONFIDENTIAL. SUCH EXCLUDED INFORMATION HAS BEEN MARKED WITH “[***].”

First Amendment to the

Cooperation and Licensing Agreement

Between Deep Isolation, Inc. and NAC International Inc.

THIS First Amendment (this “Amendment”) to that certain Cooperation and Licensing Agreement between Deep Isolation Inc. (“DI”) and NAC International Inc. (“NAC”) dated the 17^th day of June, 2020, which is incorporated herein (the “Agreement”), is made and entered into this 29^th day of July, 2025 (the “Effective Date”), by and between NAC International Inc., a Delaware corporation having its principal place of business at 2 Sun Court, Suite 220, Peachtree Corners, GA 30092 (hereinafter “NAC”) (www.nacintl.com) and Deep Isolation, Inc., a Delaware corporation having a principal place of business at 2120 University Ave., Berkeley, CA 94704 (hereinafter “Deep Isolation” or “DI”) (www.deepisolation.com), NAC and DI being hereinbelow referred to individually as a “Party” and collectively as the “Parties.” Unless specified otherwise in this Amendment, defined terms in the Agreement used herein shall appear with initial caps and shall retain their meanings as set forth in the Agreement, subject to modification in writing by the Parties, should any such need modification be identified, including modification of defined terms used in the Agreement as stipulated by this Amendment.

WHEREAS, the Parties acknowledge and agree that since the execution of the Agreement in 2020, a potential market has emerged to deploy Drillhole Canisters (as further defined below) for above- ground storage applications at commercial nuclear power plants or other nuclear facility sites, which could be located in the United States or potentially other countries (the “Purpose”).

WHEREAS, the Parties acknowledge and agree that at present and for the foreseeable future: (i) the United States currently does not have a licensed federal repository for used nuclear fuel and other radioactive nuclear materials generated by nuclear power plants ; (ii) such used fuel and other materials are generally kept at the sites at which they were created; (iii) the availability and U.S. Nuclear Regulatory Commission (NRC) licensing of the Yucca Mountain Project (YMP) as the ultimate repository remains uncertain and unlikely; and, (iv) although the NRC has not established a definitive regulatory framework for final disposal of such used fuel and other materials below- ground, such as in deep horizontal drillholes or boreholes, as contemplated in the Agreement, the Parties recognize and concur that interim above-ground storage in drillhole canisters or Universal Canister Systems (as further defined below) is likely compatible with ultimate disposal in a mined repository or in drillholes (boreholes);

WHEREAS, further to the preceding paragraph, the Parties acknowledge and believe that above- ground storage is a broader opportunity than the United States, and is a global opportunity in countries where nuclear regulators have not established a definitive framework or identified ultimate repository site(s) for below-ground disposal;

WHEREAS, both Parties agree that being first movers in the above-ground storage market for Drillhole Canisters would be mutually beneficial to both Parties;

WHEREAS, the Parties acknowledge and agree to the potential benefits of amending the Agreement to establish the terms and conditions, including related compensation, and accordingly, this Amendment as detailed further below, is intended to establish the following understanding and requirements:

NOW, THEREFORE, for and in consideration of the foregoing premises, the mutual covenants, agreements, obligations and conditions hereinbelow set forth, and for other good and valuable consideration, the receipt, adequacy and sufficiency of which are hereby acknowledged and accepted by all Parties hereto, the Parties hereto do hereby covenant and agree as follows:

For purposes of this Amendment, the Parties agree to amend the Agreement as follows:

For purposes limited to Above-Ground Projects as defined in this Amendment, during the Term of the Agreement, DI hereby grants to NAC, and NAC hereby accepts, an exclusive perpetual, irrevocable, non-transferable, sublicensable right and license, as limited and described herein, to possess, use, practice, apply, sell, sublicense (solely as needed for third parties to assist NAC in the exercise of the DI Above-Ground Projects License Grant (as defined below), and not for the benefit of any third party), reproduce and copy the applicable portions of: (i) the Drillhole Canister Technology for Above-Ground Projects, as described in this Amendment; and (ii) relevant DI Drillhole Technology, (iii) relevant DI Canister Technology, and (iv) relevant New Drillhole Canister IP, as described in the Agreement, for the sole and exclusive Purpose hereof, of NAC’s designing, licensing, manufacturing, testing, operating, maintaining, storing, transporting and decommissioning, and sales by NAC to Above-Ground customers of Drillhole Canisters (DHC) using the Drillhole Canister Technology for Above-Ground Projects as necessary to support above-ground storage and/or transport of used nuclear fuel or other radioactive nuclear materials under this Amendment (the “DI Above-Ground Projects License Grant”).

NAC shall be the exclusive provider of Drillhole Canister Technology for Above-Ground Projects using NAC’s proprietary cask technology for storage and transport, including but not limited to NAC’s patented MAGNASTOR^® (storage) and MAGNATRAN (transport) technologies, for the Purpose hereof.

NAC shall only sell and supply Deep Isolation Drillhole Canisters for inclusion within the above-ground storage and related transportation projects as part of NAC Cask Technology. NAC shall not sell and/or supply similar multi-functional drillhole canisters owned by itself or competitors.

NAC shall occupy the role, as between NAC and DI, of prime contractor as that term is conventionally understood, and NAC shall thus work directly with the nuclear power plant owner-operator or other facility owner-operator (e.g., such as a government facility) or, as the case may be, with subcontractors to such owner-operators, including reactor technology developers, to contract with such relevant Above-Ground customers for Above-Ground Projects for the Purpose hereof, which as noted hereinabove includes incorporation of such Drillhole Canister Technology into for use within NAC’s proprietary and licensed cask technology for storage and transport, including but not limited to NAC’s patented MAGNASTOR^® (storage) and MAGNATRAN (transport) technologies.

Following the sale of a Drillhole Canister using Drillhole Canister Technology for Above-Ground Projects that is sold by NAC to an Above-Ground Customer, NAC shall pay DI a royalty (“Above-Ground IP Fee”) for each such sale of a Drillhole Canister. The Above-Ground IP Fee will provide a license to use the Drillhole Canister for Above-Ground Projects or be transported to an Above-Ground Project but will not allow for disposal of the Drillhole Canister.

The Above-Ground IP Fee is as follows:

The Above Ground IP Fee shall be escalated by 3% per year starting in 2026.

A separate IP Fee will be charged for disposal of the Drillhole Canister in a borehole or a mined repository (“Disposal IP Fee”). Upon emplacement of a Drillhole Canister for disposal, the Disposal IP Fee will be due. The amount of the Disposal IP Fee associated with the Drillhole Canister will be based on a separate disposal contract with Deep Isolation; no disposal will be authorized as to an Above Ground Customer or any other person in any given case unless and until such separate disposal contract is entered into with Deep Isolation. Deep Isolation expects that its Disposal IP Fee will depend on the type of disposal selected (drillhole [including orientation and geology] or mined repository). For horizontal deep drillhole disposal, Deep Isolation expects that its IP Fee will be [***]% of the total cost of the canister. Effectively, the [***]% fee for horizontal drillhole disposal will be split between the Above Ground IP Fee and Disposal IP Fee. Both Parties will work toward that expectation in customer contracts and acknowledge that the Above-Ground Projects customer and disposal customer may be different entities.

For purposes of the DI Above-Ground Projects License Grant and with respect to any application for a relevant new or relevant amended existing NRC Certificate of Compliance (CoC), or other related permit, validation certificate or CoC issued by a U.S. federal agency (such as Department of Energy, Department of Transportation, Department of Defense) or agency of a foreign country, or any licensing approval needed with respect to Drillhole Canister Technology for Above-Ground Projects, to the extent necessary for the Purpose of this Amendment and the Agreement (hereafter, collectively, referred to as the “CoC”), NAC shall:

NAC agrees that it shall not use In-Kind Contribution hours for business development (BD) associated with Above-Ground Storage Project opportunities and that Section 4A of the Agreement will not apply (and no other In-Kind Contribution hours will be accrued or credited under Section 4A of the Agreement) to BD associated with such opportunities. Instead, the Parties will incur their own costs through the business development phase and will share costs if business development efforts result in a contract as follows:

IN WITNESS WHEREOF, the Parties have executed this First Amendment to the Cooperation and Licensing Agreement, through their duly authorized officers as signatories below, and as of the Effective Date.