New feature: capture recent logs for testing #2085

Job	Run time
Formatting	23s
Build on ubuntu-latest (nightly)	3m 3s
Build on ubuntu-latest (stable)	3m 11s
Build on macos-latest (nightly)	2m 59s
Build on macos-latest (stable)	4m 21s
Build on windows-latest (nightly)	6m 44s
Build on windows-latest (stable)	6m 43s
Static Analysis (nightly)	2m 1s
Static Analysis (stable)	1m 54s
Units (nightly)	6m 36s
Units (stable)	5m 7s
E2E (nightly)	14m 26s
E2E (stable)	14m 22s
	1h 11m 50s

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