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Share-based Compensation - Schedule of Share-based Compensation for the Awards Granted (Details) - USD ($)
$ / shares in Units, $ in Thousands
3 Months Ended
Jul. 29, 2022
Aug. 09, 2021
Oct. 01, 2022
Oct. 02, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share-based compensation arrangement vesting period (in year)     3 years  
Share-based compensation arrangement expiration period (in year)     5 years  
Unrecognized unvested share-based compensation arrangements     $ 600  
Weighted average period (in years)     2 years 1 month 28 days  
Stock Appreciation Rights (SARs)        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
SARs Granted (in dollars per share) 145,000 165,000    
Strike Price (in dollars per share) $ 5.10 $ 7.17    
Fair Value $ 2.09 $ 2.73    
Share-based Compensation Expense     $ 40 $ 68