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Income Taxes (Details) - USD ($)
3 Months Ended
Apr. 30, 2023
May 01, 2022
Jan. 29, 2023
Related Party Transaction [Line Items]      
Current income tax provision $ 1,000,000 $ 0  
Deferred income tax provision   0  
Payments for tax sharing agreement with related parties 3,761,000 $ 675,000  
Tax Sharing Agreement      
Related Party Transaction [Line Items]      
Due to affiliate $ 3,800,000   $ 5,300,000