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Intangible Assets - Additional Information (Details) - USD ($)
12 Months Ended
Jun. 01, 2024
May 27, 2023
May 28, 2022
Finite-Lived Intangible Assets [Line Items]      
Impairment of intangible assets $ 0 $ 0 $ 0
Selling, General and Administrative Expense      
Finite-Lived Intangible Assets [Line Items]      
Amortization expense $ 300,000 $ 300,000 $ 200,000