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Related Party Transaction - Additional Information (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Mar. 02, 2024
Feb. 25, 2023
Mar. 02, 2024
Feb. 25, 2023
Related Party Transaction [Line Items]        
Total future minimum lease payments $ 3,325   $ 3,325  
Rental expense 354 $ 150 977 $ 646
Lee A. McIntyre III | Lessor - LDL, LLC        
Related Party Transaction [Line Items]        
Total future minimum lease payments $ 200   $ 200  
Lease term 5 years   5 years  
Renewal term 5 years   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