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Basis of Presentation - Cash, Cash Equivalents and Restricted Cash (Details) - USD ($)
$ in Thousands
Mar. 29, 2025
Sep. 28, 2024
Mar. 30, 2024
Sep. 30, 2023
Organization, Consolidation and Presentation of Financial Statements [Abstract]        
Cash and cash equivalents $ 516,675 $ 753,550 $ 301,332  
Restricted cash 14,662 14,853 14,197  
Total cash, cash equivalents and restricted cash $ 531,337 $ 768,403 $ 315,529 $ 502,873