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Share-Based Compensation - Additional Information (Details) - USD ($)
3 Months Ended 6 Months Ended 12 Months Ended
Nov. 01, 2022
Mar. 01, 2022
Jun. 30, 2024
Jun. 30, 2023
Jun. 30, 2024
Jun. 30, 2023
Dec. 31, 2023
Dec. 31, 2022
Feb. 28, 2023
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]                  
Share based combensation expense     $ 0 $ 133,437 $ 30,509 $ 298,444 $ 275,418 $ 560,060  
Unvested stock-based compensation arrangements             $ 30,000.00    
Unvested stock-based compensation arrangements weighted average period of recognition             25 days    
Shares, Granted         0   0    
Stock options     1,363,108   1,363,108   1,698,754 1,750,967 335,646
General And Administrative Expense [Member]                  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]                  
Share based combensation expense     $ 0 $ 35,052 $ 11,482 97,571 $ 179,480 $ 179,429  
Employee Stock Options [Member]                  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]                  
Term of stock option 10 years           7 years    
Grants vest percentage             100.00%    
Employee Stock Options [Member] | General And Administrative Expense [Member]                  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]                  
Share based combensation expense           $ 16,782 $ 16,782    
Long Term Incentive Plan [Member]                  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]                  
Shares, Granted 4,150,470                
2022 Long Term Incentive Plan [Member]                  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]                  
Shares, Granted             2,994,226    
Shares, exchanged of stock options in spin-off   1,762,667