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Organization, basis of presentation, and summary of significant accounting policies - Schedule of Supplemental Cash Flow Information (Details) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Feb. 23, 2025
Feb. 25, 2024
Feb. 23, 2025
Feb. 25, 2024
Accounting Policies [Abstract]        
Cash paid for income taxes     $ 127 $ 70
Cash paid for interest     1,886 2,065
Non-cash investing and financing activities:        
Purchases of property, plant, and equipment in accounts payable     1,643 5,433
Non-cash portion of sale of property, plant and equipment via note receivable     9,590 0
Increases to property, plant and equipment from finance leases     2,737 0
Capitalization of non-cash interest to property, plant, and equipment $ 798 $ 1,187 2,254 3,250
Dividends paid-in-kind on Redeemable Convertible Preferred Stock     $ 2,466 $ 2,287