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Fair Value Measurements | 12 Months Ended
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Dec. 31, 2024
Fair Value Measurements |
Fair Value Measurements | NOTE 10 — Fair Value Measurements Derivative Instruments: Derivative instruments that are not traded on an exchange are valued using conventional calculations/models that are primarily based on unobservable inputs such as private company unit price and volatilities, and therefore, such derivative instruments are included in Level 3. Warrant Liabilities: Warrant liabilities that are not traded on an exchange are valued using conventional calculations/models that are primarily based on unobservable inputs such as private company unit price and volatilities, and therefore, such warrant instruments are included in Level 3. The following table presents information about the Company’s assets and liabilities that are measured at fair value on a recurring basis as of December 31, 2024 and 2023, respectively, and indicates the fair value hierarchy of the valuation inputs the Company utilized. ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
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
​ The Company has determined that the warrants associated with notes are subject to treatment as a liability as the warrants for units of the Company are not indexed to its own membership interests. The warrants are subject to remeasurement at each Balance Sheet date and any change in fair value is recognized as a component of other expenses on the statements of operations. The Company will continue to adjust the liability for changes in fair value until the earlier of the exercise or expiration of the warrants. At that time, the portion of the warrant liability related to the common unit warrant will be reclassified to additional paid-in capital. The following tables present information about the change in fair value of the Company’s Level 3 warrant liabilities and derivative liabilities for the year ended December 31, 2024 and 2023: ​
​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | 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
​
​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | 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 The entire disclosure for the fair value of financial instruments (as defined), including financial assets and financial liabilities (collectively, as defined), and the measurements of those instruments as well as disclosures related to the fair value of non-financial assets and liabilities. Such disclosures about the financial instruments, assets, and liabilities would include: (1) the fair value of the required items together with their carrying amounts (as appropriate); (2) for items for which it is not practicable to estimate fair value, disclosure would include: (a) information pertinent to estimating fair value (including, carrying amount, effective interest rate, and maturity, and (b) the reasons why it is not practicable to estimate fair value; (3) significant concentrations of credit risk including: (a) information about the activity, region, or economic characteristics identifying a concentration, (b) the maximum amount of loss the entity is exposed to based on the gross fair value of the related item, (c) policy for requiring collateral or other security and information as to accessing such collateral or security, and (d) the nature and brief description of such collateral or security; (4) quantitative information about market risks and how such risks are managed; (5) for items measured on both a recurring and nonrecurring basis information regarding the inputs used to develop the fair value measurement; and (6) for items presented in the financial statement for which fair value measurement is elected: (a) information necessary to understand the reasons for the election, (b) discussion of the effect of fair value changes on earnings, (c) a description of [similar groups] items for which the election is made and the relation thereof to the balance sheet, the aggregate carrying value of items included in the balance sheet that are not eligible for the election; (7) all other required (as defined) and desired information. + References Reference 1: http://www.xbrl.org/2003/role/exampleRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 55 -Paragraph 107 -Publisher FASB -URI https://asc.fasb.org/1943274/2147482078/820-10-55-107 Reference 2: http://www.xbrl.org/2003/role/exampleRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 55 -Paragraph 100 -Publisher FASB -URI https://asc.fasb.org/1943274/2147482078/820-10-55-100 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c)(3) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 Reference 4: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 6A -Subparagraph (a) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-6A Reference 5: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2E -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2E Reference 6: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 6A -Subparagraph (h) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-6A Reference 7: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 6A -Subparagraph (f) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-6A Reference 8: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 6A -Subparagraph (e) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-6A Reference 9: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 6A -Subparagraph (d) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-6A Reference 10: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (h) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 Reference 11: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (g) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 Reference 12: http://www.xbrl.org/2003/role/disclosureRef -Topic 940 -SubTopic 820 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Subparagraph (a) -Publisher FASB -URI https://asc.fasb.org/1943274/2147478119/940-820-50-1 + Details
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