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Income Taxes - Schedule of Valuation Allowance Rollforward (Details) - USD ($)
$ in Thousands
12 Months Ended
Oct. 03, 2025
Sep. 27, 2024
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]    
Balance, beginning of year $ (80,552) $ (78,194)
Additions (9,743) (5,810)
Subtractions 28,019 3,452
Balance, end of year $ (62,276) $ (80,552)