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Income Taxes - Reconciliation of the Beginning and Ending Amount of Gross Unrecognized Tax Benefits (Details) - USD ($)
$ in Thousands
12 Months Ended
Oct. 03, 2025
Sep. 27, 2024
Unrecognized Tax Benefits [Roll Forward]    
Balance, beginning of year $ 70,188 $ 69,128
Additions based on tax positions taken in the current year 0 754
Additions for tax positions taken in prior years 22,144 3,370
Reductions for remeasurements, settlements and payments 0 (1,493)
Reductions due to statute expiration (3,727) (1,571)
Balance, end of year $ 88,605 $ 70,188