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Debt and Warrant Liabilities - Liabilities Trigged by Business Combination (Details) - USD ($) |  | 6 Months Ended | 12 Months Ended |  |
--- | --- | --- | --- | --- | ---
May 19, 2025 | Jun. 30, 2025 | Dec. 31, 2024 | Jan. 02, 2025 | Jun. 18, 2024
Debt and Warrant Liabilities |  |  |  |  |
Total liabilities |  | $ 46,112,708 | $ 157,734,053 |  |
York Capital Management Global Advisors | Legacy Company |  |  |  |  |
Debt and Warrant Liabilities |  |  |  |  |
Threshold amount of contingent consideration |  | 20,000,000 |  |  |
Equity value of legacy company |  | 31,631,205 |  |  |
Amount of liability settled in shares | $ 2,326,241 |  |  |  |
Accrued liabilities |  | $ 0 |  | $ 2,326,241 |
Number of shares issued in settlement of accrued liabilities | 1,700,000 |  |  |  |
York Capital Management Global Advisors | Legacy Company | If proceeds are in between $20 million to $100 million |  |  |  |  |
Debt and Warrant Liabilities |  |  |  |  |
Payment percentage of contingent consideration |  | 20.00% |  |  |
York Capital Management Global Advisors | Legacy Company | If proceeds are in between $20 million to $100 million | Minimum |  |  |  |  |
Debt and Warrant Liabilities |  |  |  |  |
Threshold amount of contingent consideration |  | $ 20,000,000 |  |  |
York Capital Management Global Advisors | Legacy Company | If proceeds are in between $20 million to $100 million | Maximum |  |  |  |  |
Debt and Warrant Liabilities |  |  |  |  |
Threshold amount of contingent consideration |  | $ 100,000,000 |  |  |
York Capital Management Global Advisors | Legacy Company | If proceeds are in between $100 million to $200 million |  |  |  |  |
Debt and Warrant Liabilities |  |  |  |  |
Payment percentage of contingent consideration |  | 10.00% |  |  |
York Capital Management Global Advisors | Legacy Company | If proceeds are in between $100 million to $200 million | Minimum |  |  |  |  |
Debt and Warrant Liabilities |  |  |  |  |
Threshold amount of contingent consideration |  | $ 100,000,000 |  |  |
York Capital Management Global Advisors | Legacy Company | If proceeds are in between $100 million to $200 million | Maximum |  |  |  |  |
Debt and Warrant Liabilities |  |  |  |  |
Threshold amount of contingent consideration |  | 200,000,000 |  |  |
Ellenoff Grossman and Schole LLP | Legacy Company |  |  |  |  |
Debt and Warrant Liabilities |  |  |  |  |
Deferred service fee payable |  | $ 1,058,527 |  |  |
Taylor Freres Americas LLP ("TFA") | Legacy Company |  |  |  |  |
Debt and Warrant Liabilities |  |  |  |  |
Total liabilities |  |  |  |  | $ 1,445,000
Common stock reserved for future |  |  |  |  | 7,626,000
Number of shares issued in exchange for equity interests |  |  | 850,000 |  |
Number of shares issued in settlement of accrued liabilities |  | 595,000 |  |  |

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