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Share-based Compensation - Summary of Share Activity Under the Plan (Details) - $ / shares
6 Months Ended 12 Months Ended
Jun. 30, 2024
Dec. 31, 2023
Dec. 31, 2022
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Beginning Balance 564,272    
Vested (294,114)    
Granted/Issued 11,892,704    
Forfeited (1,302)    
Ending Balance 12,161,560 564,272  
Beginning Balance $ 0.19    
Vested 0.19    
Granted/Issued 0.22    
Forfeited 0.19    
Ending Balance $ 0.6 $ 0.19  
Incentive Units [Member]      
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Beginning Balance     5,676,896
Incentive Units [Member] | Limited Liability Company Profit Interests Plan [Member]      
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Beginning Balance 564,272 2,815,273  
Vested   (2,113,766) (2,861,623)
Forfeited   (137,235) 0
Ending Balance   564,272 2,815,273