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Income Taxes - Summary of Changes in Valuation Allowance (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 28, 2024
Sep. 30, 2023
Oct. 01, 2022
Valuation Allowance [Roll Forward]      
Beginning balance $ 185,840 $ 162,267 $ 155,978
Increase during the period 32,573 23,628 13,841
Decrease during the period (2,048) (55) (7,552)
Ending balance $ 216,365 $ 185,840 $ 162,267