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Income Taxes - Unrecognized Tax Benefits (Details) - USD ($)
$ in Thousands
12 Months Ended
Oct. 01, 2022
Oct. 02, 2021
Oct. 03, 2020
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]      
Balance, beginning of year $ 370 $ 0 $ 0
Additions for tax positions of prior years 0 370 0
Lapses of applicable statute of limitations 260 0 0
Balance, end of year $ 110 $ 370 $ 0