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Income Taxes - Schedule of Changes in Unrecognized Tax Benefits (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2023
Oct. 01, 2022
Oct. 02, 2021
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]      
Beginning balance $ 17,021 $ 21,252 $ 14,721
Decrease - tax positions in prior periods (566) (6,039) (4)
Increase - tax positions in current periods 1,164 1,808 6,535
Ending balance $ 17,619 $ 17,021 $ 21,252