refactor recomputation to work with tags #5517

Job	Run time
pytester (ubuntu-22.04, 3.10, latest, core)	10m 48s
pytester (ubuntu-22.04, 3.10, latest, ops)	30m 24s
pytester (ubuntu-22.04, 3.10, nightly, core)	11m 19s
pytester (ubuntu-22.04, 3.10, nightly, ops)	31m 26s
pytester (macOS-14, 3.10, latest, core)	8m 40s
pytester (macOS-14, 3.10, latest, ops)	26m 6s
pytester (macOS-14, 3.10, nightly, core)	10m 41s
pytester (macOS-14, 3.10, nightly, ops)	24m 36s
pytester (windows-2022, 3.10, latest, core)	24m 54s
pytester (windows-2022, 3.10, nightly, core)	25m 0s
pytester (ubuntu-22.04, 3.11, latest)	24m 31s
pytester (ubuntu-22.04, 3.12, latest)	28m 9s
testing-guardian	1s
	4h 16m 35s

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