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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

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