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Share Based Compensation - Narrative (Details) - USD ($) |  | 3 Months Ended | 9 Months Ended | 12 Months Ended
--- | --- | --- | --- | ---
Jan. 01, 2024 | Sep. 30, 2024 | Mar. 31, 2024 | Sep. 30, 2023 | Mar. 31, 2023 | Sep. 30, 2024 | Sep. 30, 2023 | Dec. 31, 2023
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |  |
Unrecognized compensation cost related to grant of RSUs |  | $ (485,904) | $ 0 |  |  |  |  |
Weighted average remaining vesting period |  |  |  |  |  | 1 year 9 months 10 days |  |
Share-based compensation expense |  | 5,796,823 |  | $ 2,095,889 |  | $ 16,855,006 | $ 2,095,889 |
Unrecognized compensation cost |  | 13,100,000 |  |  |  | $ 13,100,000 |  |
2023 Employee Stock Purchase plan |  |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |  |
Shares outstanding percentage | 1.00% |  |  |  |  |  |  |
RSUs |  |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |  |
Issued RSUs (in shares) |  |  |  |  |  | 5,023,858 |  | 2,354,989
Unrecognized compensation cost related to grant of RSUs |  |  |  |  |  | $ 19,200,000 |  |
Earnout Shares |  |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |  |
Share-based compensation expense |  | $ 900,000 |  | $ 800,000 |  | $ 2,700,000 | $ 800,000 |
Class A Common Stock |  |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |  |
Shares outstanding percentage |  |  |  |  |  | 5.00% |  |
Common stock, par value (in dollars per share) |  | $ 0.0001 |  |  |  | $ 0.0001 |  | $ 0.0001
Class A Common Stock | 2023 Stock incentive plan |  |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |  |
Shares outstanding percentage |  |  |  |  |  | 15.00% |  |
Class A Common Stock | 2023 Employee Stock Purchase plan |  |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |  |
Number of stock issued (in shares) |  |  |  |  |  | 600,000 |  |
Common Stock | 2023 Employee Stock Purchase plan |  |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |  |
Common stock, par value (in dollars per share) | $ 0.0001 |  |  |  |  |  |  |
Common Stock | 2023 Employee Stock Purchase plan |  |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |  |
Number of stock issued (in shares) | 425,000 |  |  |  |  |  |  |
Common Stock | Class A Common Stock |  |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |  |
Number of stock issued (in shares) |  |  |  |  | 1,447,523 |  |  |
Issued RSUs (in shares) |  | 1,273,767 | 663,500 |  |  |  |  |
Unrecognized compensation cost related to grant of RSUs |  | $ 128 | $ 66 |  |  |  |  |

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