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Segment Reporting - Schedule of Significant Segment Expenses, Segment Net Revenues, and the Segment Performance Measure, Net Loss (Detail) - USD ($)
 3 Months Ended 9 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2025
Sep. 30, 2024
Segment Reporting [Abstract]        
Total revenue $ 60,975 $ 213,901 $ 330,975 $ 632,530
Less significant expenses:        
Professional fees 879,408 658,003 2,711,849 2,008,393
Operations and research (excluding compensation) 646,610 1,186,802 1,579,264 2,784,798
Compensation:        
Salaries and Wages 838,578 717,639 4,567,265 2,427,541
Share-based compensation 45,742 101,785 137,226 1,666,318
Total Compensation 884,320 819,424 4,704,491 4,093,859
Total Significant Expenses 2,410,338 2,664,229 8,995,604 8,887,050
Other Segment Items (gain)/loss [1] 11,158,823 (18,685,763) 22,398,708 (21,682,196)
Total Significant Expenses and Other Segment Items 13,569,161 (16,021,534) 31,394,312 (12,795,146)
NET (LOSS) INCOME $ (13,508,186) $ 16,235,435 $ (31,063,337) $ 13,427,676
[1] Includes other expenses within Marketing, General and Administrative and Operations and Research which are not significant individually or in the aggregate and not included within Significant Expenses above; as well as, Interest income, Interest Expense, Loss on equity method investment, Change in derivative liabilities fair value, and Other, as reported in our condensed consolidated statements of operations.