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Related Party Transactions - Additional Information (Details) - USD ($)
$ in Thousands
6 Months Ended
Dec. 02, 2023
Nov. 26, 2022
Related Party Transaction [Line Items]    
Total future minimum lease payments $ 2,244  
Rental expense 312 $ 496
Lee A. McIntyre III | Lessor - LDL, LLC    
Related Party Transaction [Line Items]    
Total future minimum lease payments $ 200  
Lease term 5 years  
Renewal term 5 years  
Extended term 5 years  
Executive vice president departing year 2023  
Executive vice president departing effective date Sep. 24, 2022  
Lee A. McIntyre III | Maximum | Lessor - LDL, LLC    
Related Party Transaction [Line Items]    
Rental expense $ 100 $ 100