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Organization, Basis of Presentation, and Summary of Significant Accounting Policies - Fair Value Measurements (Details)
$ in Thousands
 3 Months Ended 12 Months Ended
Aug. 27, 2023
USD ($)
Aug. 28, 2022
USD ($)
May 28, 2023
USD ($)
Debt Derivative Liability      
Decrease in fair value $ (200) $ 0  
Debt Derivative Liability      
Debt Derivative Liability      
Beginning balance 64,900 $ 0 $ 0
Fair value on issuance     64,900
Decrease in fair value (200)    
Ending balance $ 64,700   $ 64,900
Discount rate | Minimum      
Liabilities:      
Measurement input 0.223   0.223
Discount rate | Maximum      
Liabilities:      
Measurement input 0.242   0.245
Implied spread      
Liabilities:      
Measurement input 0.179   0.185
Risk free rate | Minimum      
Liabilities:      
Measurement input 0.044   0.038
Risk free rate | Maximum      
Liabilities:      
Measurement input 0.063   0.060
Level 1 | Recurring      
Liabilities:      
Debt derivative liability $ 0   $ 0
Total liabilities 0   0
Level 2 | Recurring      
Liabilities:      
Debt derivative liability 0   0
Total liabilities 0   0
Level 3 | Recurring      
Liabilities:      
Debt derivative liability 64,700   64,900
Total liabilities $ 64,700   $ 64,900