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Fair Value Measurements (Tables) | 12 Months Ended
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Dec. 31, 2024
Fair Value Measurements |
Summary of assets and liabilities that are measured at fair value on a recurring basis | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Description |  | Level |  | December 31, 2024 |  | December 31, 2023
Liabilities | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Warrant liabilities |  | 3 | ​ | $ | 16,241,092 | ​ | $ | 22,024,165
Derivative liabilities |  | 3 | ​ | $ | 8,327,602 | ​ | $ | 922,834
Summary of change in fair value of the Company's Level 3 warrant liabilities | ​
​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | For the Year Ended | ​ | For the Year Ended
Warrant liabilities |  | December 31, 2024 |  | December 31, 2023
Fair Value - beginning of period |  | $ | 22,024,165 |  | $ | 5,652,553
Addition | ​ | ​ | — | ​ | ​ | —
Change in fair value | ​ | ​ | (5,783,073) | ​ | ​ | 16,371,612
Fair Value - end of period |  | $ | 16,241,092 |  | $ | 22,024,165
Summary of change in fair value of the Company's Level 3 derivative liabilities | ​
​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | For the Year Ended | ​ | For the Year Ended
Derivative liabilities |  | December 31, 2024 |  | December 31, 2023
Fair Value - beginning of period | ​ | $ | 922,834 | ​ | $ | 1,572,078
Addition |  | ​ | 7,853,000 |  | ​ | —
Change in fair value |  | ​ | (448,232) |  | ​ | (649,244)
Fair Value - end of period | ​ | $ | 8,327,602 | ​ | $ | 922,834
​

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- Definition Tabular disclosure of the fair value measurement of liabilities using significant unobservable inputs (Level 3), a reconciliation of the beginning and ending balances, separately presenting changes attributable to the following: (1) total gains or losses for the period (realized and unrealized), segregating those gains or losses included in earnings (or changes in net assets), and gains or losses recognized in other comprehensive income (loss) and a description of where those gains or losses included in earnings (or changes in net assets) are reported in the statement of income (or activities); (2) purchases, sales, issues, and settlements (each type disclosed separately); and (3) transfers in and transfers out of Level 3 (for example, transfers due to changes in the observability of significant inputs) by class of liability. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 3 -Subparagraph (b) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-3 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (d) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 + Details
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- Definition Tabular disclosure of financial instrument classified as a derivative asset (liability) after deduction of derivative liability (asset) using recurring unobservable inputs that reflect the entity's own assumption about the assumptions market participants would use in pricing. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 3 -Subparagraph (b) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-3 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (d) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 + Details
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- Definition Tabular disclosure of assets and liabilities, including [financial] instruments measured at fair value that are classified in stockholders' equity, if any, that are measured at fair value on a recurring basis. The disclosures contemplated herein include the fair value measurements at the reporting date by the level within the fair value hierarchy in which the fair value measurements in their entirety fall, segregating fair value measurements using quoted prices in active markets for identical assets (Level 1), significant other observable inputs (Level 2), and significant unobservable inputs (Level 3). + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (b) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (a) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 + Details
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