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Equity-Based Compensation - Summary of Stock Option Valuation Assumptions (Details)
9 Months Ended 12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Dec. 31, 2023
Dec. 31, 2022
Share-Based Payment Arrangement [Abstract]        
Weighted-average risk-free interest rate 0.00% 3.70% 3.70% 3.30%
Weighted-average expected term (in years) 0 years 5 years 11 months 4 days 5 years 10 months 13 days 5 years 4 months 6 days
Weighted-average expected volatility 0.00% 62.30% 62.29% 54.60%
Expected dividend yield 0.00% 0.00% 0.00% 0.00%