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Income Taxes - Additional Information (Details) - USD ($) | 3 Months Ended | 6 Months Ended | 9 Months Ended | 12 Months Ended
--- | --- | --- | --- | ---
Oct. 29, 2022 | Oct. 30, 2021 | Jul. 30, 2022 | Oct. 29, 2022 | Oct. 30, 2021 | Jan. 29, 2022
Income Taxes [Line Items] |  |  |  |  |  |
Discrete tax expense (benefit) release in valuation allowance | $ 2,000,000.0 |  | $ (35,500,000) | $ (33,480,000) |  |
Valuation allowance | 2,400,000 |  |  | 2,400,000 |  |
Income tax provision (benefit) | $ 2,083,000 | $ 94,000 |  | (32,944,000) | $ 548,000 |
Tax payments |  |  |  | $ 300,000 | 100,000 |
Federal |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |
Net operating loss carryforwards subject to expiration |  |  |  |  |  | $ 100,700,000
Net operating loss carryforwards not subject to expiration |  |  |  |  |  | $ 43,100,000
Federal | Minimum |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |
Federal net operating loss carry forwards expiration period minimum |  |  |  |  |  | 2028
Federal | Maximum |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |
Federal net operating loss carry forwards expiration period maximum |  |  |  |  |  | 2037
State and Local Jurisdiction |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |
Income tax provision (benefit) |  | $ 94,000 |  |  | $ 548,000 |
Net operating loss carryforwards |  |  |  |  |  | $ 90,000,000.0
State and Local Jurisdiction | Minimum |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |
Net operating loss carryforwards expiration year |  |  |  |  |  | 2028
State and Local Jurisdiction | Maximum |  |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |  |
Net operating loss carryforwards expiration year |  |  |  |  |  | 2041

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