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Pay vs Performance Disclosure - USD ($)
 12 Months Ended
Jan. 03, 2026
Dec. 28, 2024
Dec. 30, 2023
Pay vs Performance Disclosure      
Pay vs Performance Disclosure, Table
Fiscal
Year(1)
(a)
Summary
Compensation
Table Total
for PEO(2)
($)
(b)
Compensation
Actually Paid
to PEO(3)
($)
(c)
Average
Summary
Compensation
Table Total for
Non-PEO
NEOs(2)
($)
(d)
Average
Compensation
Actually Paid to
Non-PEO
NEOs(3)
($)
(e)
Value of an Initial $100 Investment:
Net Income
(thousands)(5)
($)
(h)
Adjusted
EBITDA
(thousands)(6)
($)
(i)
Total
Stockholder
Return(4)
($)
(f)
Peer Group
Total
Stockholder
Return(4)
($)
(g)
20255,841,659 2,074,269 1,887,999 1,296,147 41 141 22,639 255,655 
20245,093,172 (15,920,056)1,230,196 (1,881,369)45 131 29,030 272,579 
202310,134,051 17,566,372 2,684,102 4,140,034 76 115 53,115 307,326 
    
Company Selected Measure Name Adjusted EBITDA    
Named Executive Officers, Footnote The amounts in column (b) are the amounts reported for our principal executive officer (“PEO”), Mr. Walsh, in the “Total” column of the Summary Compensation Table for the specified fiscal year. The amounts reported in column (d) represent the average of the amounts reported for the Company’s named executive officers (“NEOs”) as a group (excluding our PEO) in the “Total” column of the Summary Compensation Table for the specified fiscal year. The PEO and Non-PEO NEOs for the applicable fiscal years were as follows:
Fiscal YearPEONon-PEO NEOs
2025Mark WalshMichael Maher, Jubran Tanious, Richard Medway, Mindy Geisser
2024Mark WalshMichael Maher, Jubran Tanious, Richard Medway, Charles Hunsinger, Jay Stasz
2023Mark WalshJay Stasz, Jubran Tanious, Richard Medway, Mindy Geisser
    
Peer Group Issuers, Footnote The amounts reported in column (f) represent cumulative TSR of the Company under SEC rules from June 29, 2023, our first day of trading as a public company, through the last trading day for the specified fiscal year in the table. The amounts reported in column (g) represent peer group TSR under SEC rules for the same period, using the S&P 500 Retail Select Industry Index, which is the peer group used in our Annual Report on Form 10-K for purposes of Item 201(e) of Regulation S-K.    
PEO Total Compensation Amount $ 5,841,659 $ 5,093,172 $ 10,134,051
PEO Actually Paid Compensation Amount $ 2,074,269 (15,920,056) 17,566,372
Adjustment To PEO Compensation, Footnote The amounts in column (c) and column (e) represent the amount of “compensation actually paid” to Mr. Walsh, and the average amount of “compensation actually paid” to our other NEOs as a group, for the specified fiscal year, as computed in accordance with Item 402(v) of Regulation S-K. To determine “compensation actually paid” under SEC rules, the amounts shown below were deducted and added, as applicable, to the Summary Compensation Table total compensation:
Calculation of “Compensation Actually Paid” for Fiscal 2025
PEO
($)
Other NEOs
(average)
($)
Summary Compensation Table (SCT) Total5,841,659 1,887,999 
(Minus): Grant Date Fair Value of Equity Awards Granted in the Fiscal Year
(4,637,490)(1,134,581)
(Minus): Change in Pension Value
— — 
Plus: Pension Service Cost and Associated Prior Service Cost
— — 
Plus: Fair Value at Fiscal Year End of Outstanding and Unvested Equity Awards Granted in the Fiscal Year
6,162,829 1,405,387 
Plus/(Minus): Change in Fair Value of Outstanding and Unvested Equity Awards Granted in Prior Fiscal Years
(5,187,244)(855,895)
Plus: Fair Value at Vesting of Equity Awards Granted and Vested in the Fiscal Year
— — 
Plus/(Minus): Change in Fair Value as of the Vesting Date of Equity Awards Granted in Prior Fiscal Years that Vested in the Fiscal Year
(105,484)(6,764)
(Minus): Fair Value as of the Prior Fiscal Year End of Equity Awards Granted in Prior Fiscal Years that Failed to Meet Vesting Conditions in the Fiscal Year
— — 
Plus/(Minus): Value of Dividends or Other Earnings Paid on Equity Awards Not Otherwise Reflected in Total Compensation
— — 
Compensation Actually Paid2,074,269 1,296,147 
    
Non-PEO NEO Average Total Compensation Amount $ 1,887,999 1,230,196 2,684,102
Non-PEO NEO Average Compensation Actually Paid Amount $ 1,296,147 (1,881,369) 4,140,034
Adjustment to Non-PEO NEO Compensation Footnote The amounts in column (c) and column (e) represent the amount of “compensation actually paid” to Mr. Walsh, and the average amount of “compensation actually paid” to our other NEOs as a group, for the specified fiscal year, as computed in accordance with Item 402(v) of Regulation S-K. To determine “compensation actually paid” under SEC rules, the amounts shown below were deducted and added, as applicable, to the Summary Compensation Table total compensation:
Calculation of “Compensation Actually Paid” for Fiscal 2025
PEO
($)
Other NEOs
(average)
($)
Summary Compensation Table (SCT) Total5,841,659 1,887,999 
(Minus): Grant Date Fair Value of Equity Awards Granted in the Fiscal Year
(4,637,490)(1,134,581)
(Minus): Change in Pension Value
— — 
Plus: Pension Service Cost and Associated Prior Service Cost
— — 
Plus: Fair Value at Fiscal Year End of Outstanding and Unvested Equity Awards Granted in the Fiscal Year
6,162,829 1,405,387 
Plus/(Minus): Change in Fair Value of Outstanding and Unvested Equity Awards Granted in Prior Fiscal Years
(5,187,244)(855,895)
Plus: Fair Value at Vesting of Equity Awards Granted and Vested in the Fiscal Year
— — 
Plus/(Minus): Change in Fair Value as of the Vesting Date of Equity Awards Granted in Prior Fiscal Years that Vested in the Fiscal Year
(105,484)(6,764)
(Minus): Fair Value as of the Prior Fiscal Year End of Equity Awards Granted in Prior Fiscal Years that Failed to Meet Vesting Conditions in the Fiscal Year
— — 
Plus/(Minus): Value of Dividends or Other Earnings Paid on Equity Awards Not Otherwise Reflected in Total Compensation
— — 
Compensation Actually Paid2,074,269 1,296,147 
    
Compensation Actually Paid vs. Total Shareholder Return
The following chart illustrates the relationship between CAP for our PEO and the average CAP for our Non-PEO NEOs against the Company’s TSR, as well as the relationship between our TSR and the TSR of our peer group:
3947
    
Compensation Actually Paid vs. Net Income
The following chart illustrates the relationship between CAP for our PEO and the average CAP for our Non-PEO NEOs against the Company’s net income:
4097
    
Compensation Actually Paid vs. Company Selected Measure
The following chart illustrates the relationship between CAP for our PEO and the average CAP for our Non-PEO NEOs against the Company’s Adjusted EBITDA:
4252
    
Total Shareholder Return Vs Peer Group
The following chart illustrates the relationship between CAP for our PEO and the average CAP for our Non-PEO NEOs against the Company’s TSR, as well as the relationship between our TSR and the TSR of our peer group:
3947
    
Total Shareholder Return Amount $ 41 45 76
Peer Group Total Shareholder Return Amount 141 131 115
Net Income (Loss) $ 22,639,000 $ 29,030,000 $ 53,115,000
Company Selected Measure Amount 255,655,000 272,579,000 307,326,000
PEO Name Mr. Walsh    
Additional 402(v) Disclosure Information for years prior to 2023 is not included because we were not a public reporting company until June 2023.The amounts reported in column (h) represent net income of the Company reported in our Annual Report on Form 10-K for the specified fiscal year.    
Measure:: 1      
Pay vs Performance Disclosure      
Name Adjusted EBITDA    
Non-GAAP Measure Description The amounts reported in column (i) represent Adjusted EBITDA, which is a non-GAAP financial measure. Through fiscal 2025, we define Adjusted EBITDA as net income excluding the impact of interest expense, net, income tax expense (benefit), depreciation and amortization, loss on extinguishment of debt, stock-based compensation expense, lease intangible asset expense, executive transition costs, transaction costs, dividend-related bonus, foreign currency exchange rate impacts, and certain other adjustments. Please see Appendix A: Reconciliation to GAAP Measures, for a reconciliation of GAAP net income to Adjusted EBITDA. Adjusted EBITDA as reported in column (i) and in our Annual Report is different than the Adjusted EBITDA result used for purposes of the AIP as noted in the CD&A because we use an internal management reporting rate for constant currency purposes to account for the impact of foreign currency exchange rates in our AIP calculation.    
PEO | Aggregate Change in Present Value of Accumulated Benefit for All Pension Plans Reported in Summary Compensation Table      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount $ 0    
PEO | Aggregate Pension Adjustments Service Cost      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount 0    
PEO | Aggregate Grant Date Fair Value of Equity Award Amounts Reported in Summary Compensation Table      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount (4,637,490)    
PEO | Year-end Fair Value of Equity Awards Granted in Covered Year that are Outstanding and Unvested      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount 6,162,829    
PEO | Year-over-Year Change in Fair Value of Equity Awards Granted in Prior Years That are Outstanding and Unvested      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount (5,187,244)    
PEO | Vesting Date Fair Value of Equity Awards Granted and Vested in Covered Year      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount 0    
PEO | Change in Fair Value as of Vesting Date of Prior Year Equity Awards Vested in Covered Year      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount (105,484)    
PEO | Prior Year End Fair Value of Equity Awards Granted in Any Prior Year that Fail to Meet Applicable Vesting Conditions During Covered Year      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount 0    
PEO | Dividends or Other Earnings Paid on Equity Awards not Otherwise Reflected in Total Compensation for Covered Year      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount 0    
Non-PEO NEO | Aggregate Change in Present Value of Accumulated Benefit for All Pension Plans Reported in Summary Compensation Table      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount 0    
Non-PEO NEO | Aggregate Pension Adjustments Service Cost      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount 0    
Non-PEO NEO | Aggregate Grant Date Fair Value of Equity Award Amounts Reported in Summary Compensation Table      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount (1,134,581)    
Non-PEO NEO | Year-end Fair Value of Equity Awards Granted in Covered Year that are Outstanding and Unvested      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount 1,405,387    
Non-PEO NEO | Year-over-Year Change in Fair Value of Equity Awards Granted in Prior Years That are Outstanding and Unvested      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount (855,895)    
Non-PEO NEO | Vesting Date Fair Value of Equity Awards Granted and Vested in Covered Year      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount 0    
Non-PEO NEO | Change in Fair Value as of Vesting Date of Prior Year Equity Awards Vested in Covered Year      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount (6,764)    
Non-PEO NEO | Prior Year End Fair Value of Equity Awards Granted in Any Prior Year that Fail to Meet Applicable Vesting Conditions During Covered Year      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount 0    
Non-PEO NEO | Dividends or Other Earnings Paid on Equity Awards not Otherwise Reflected in Total Compensation for Covered Year      
Pay vs Performance Disclosure      
Adjustment to Compensation, Amount $ 0