Cache black formatting information across CI runs. (#9413)
Save and persist `black`'s formatted files cache across CI runs. Around a ~20s win, 21s -> 2s. Most cases should be close to this best case scenario, since most PRs don't modify most files — and this PR makes sure we don't re-check files that haven't changed. Before:  After: 
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Predrag Gruevski committed
463019ac3ec61b8841efb4410631556bbf820f87
Parent: a3dd4dc
Committed by GitHub <noreply@github.com>
on 8/18/2023, 1:49:50 PM