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Stock-Based Compensation - Schedule of Activities of RSUs (Details) - Restricted Stock Units (RSUs) [Member] - $ / shares
5 Months Ended 6 Months Ended
Dec. 30, 2024
Jun. 30, 2025
Time Vesting Units [Member]    
Schedule of Activities of RSUs for the Successor [Line Items]    
Number of Units, Unvested Beginning Balance  
Weighted Average Grant Date Value, Unvested Beginning Balance  
Number of Units, Granted 950 564
Weighted Average Grant Date Fair Value, Granted $ 10 $ 9.19
Number of Units, Forfeited (123)
Weighted Average Grant Date Fair Value, Forfeited $ 10 $ 9.79
Number of Units, Units Vested 150
Weighted Average Grant Date Fair Value, Units Vested
Number of Units, Unvested Ending Balance 827 1,241
Weighted Average Grant Date Value, Unvested Ending Balance $ 10 $ 9.66
Market Vesting Units [Member]    
Schedule of Activities of RSUs for the Successor [Line Items]    
Number of Units, Unvested Beginning Balance  
Weighted Average Grant Date Value, Unvested Beginning Balance  
Number of Units, Granted 900
Weighted Average Grant Date Fair Value, Granted $ 5.35
Number of Units, Forfeited (123)
Weighted Average Grant Date Fair Value, Forfeited $ 5.35 $ 5.35
Number of Units, Units Vested 110
Weighted Average Grant Date Fair Value, Units Vested
Number of Units, Unvested Ending Balance 777 667
Weighted Average Grant Date Value, Unvested Ending Balance $ 5.35 $ 5.35