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Equity-Based Compensation - Stock Appreciation Rights Activity (Details) - Stock appreciation rights - USD ($) $ / shares in Units, shares in Thousands, $ in Millions | 6 Months Ended | 12 Months Ended
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Jul. 22, 2021 | Feb. 02, 2025
Number of Shares |  |
Outstanding, beginning (in shares) |  | 332
Granted (in shares) | (160) |
Outstanding, ending (in shares) |  | 172
Weighted Average Benchmark Price |  |
Outstanding, beginning (in dollars per share) |  | $ 5.28
Granted (in dollars per share) |  | 4.46
Outstanding, ending (in dollars per share) |  | $ 6.03
Stock appreciation rights, exercisable (in shares) |  | 109
Stock appreciation rights, exercisable, weighted average exercise price |  | $ 4.59
Stock appreciation rights, aggregate intrinsic value, outstanding |  | $ 9
Stock appreciation rights, exercisable, aggregate intrinsic value |  | $ 6

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