Moving `Find FAIL-CI` check to GHA #6091

Job	Run time
check-dependency-rules	9s
check-fail-ci	11s
check-markdown	14s
check-workspace	16s
set-image	8s
check-rust-feature-propagation	1m 51s
check-toml-format	51s
check-umbrella	2m 7s
fmt	1m 2s
test-rust-features	1m 56s
	8m 45s

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