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Stock-Based Compensation (Details) - USD ($)
3 Months Ended 9 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2025
Sep. 30, 2024
May 31, 2024
Stock-Based Compensation [Line Items]          
Remaining available shares issued (in Shares) 975,185   975,185    
Compensation expense $ 1,870,211 $ 1,071,160 $ 4,274,717 $ 7,746,796  
Restricted Stock [Member]          
Stock-Based Compensation [Line Items]          
Compensation expense 1,900,000 $ 1,100,000 4,300,000 $ 7,700,000  
Unrecognized compensation expense of RSU's $ 12,400,000   $ 12,400,000    
2024 Long-Term Incentive Plan [Member] | Minimum [Member]          
Stock-Based Compensation [Line Items]          
Shares vesting period     1 year    
2024 Long-Term Incentive Plan [Member] | Maximum [Member]          
Stock-Based Compensation [Line Items]          
Shares vesting period     5 years    
Successor [Member] | 2024 Long-Term Incentive Plan [Member]          
Stock-Based Compensation [Line Items]          
Shares issued under plan (in Shares)         3,260,000