Add launch mode integration tests #11214

Job	Run time
build_node (ubuntu-latest)	1m 19s
build_node (macos-latest)	1m 24s
Ruby 3.1 on ubuntu-latest	15m 8s
build_node (windows-latest)	5m 52s
Ruby 3.2 on ubuntu-latest	15m 4s
Ruby 3.3 on ubuntu-latest	12m 45s
lint_node	36s
Ruby 3.1 on macos-latest	9m 14s
Ruby 3.2 on macos-latest	8m 8s
lint_ruby	20s
Ruby 3.3 on macos-latest	9m 45s
spelling	24s
Ruby 3.1 on windows-latest	22m 55s
Ruby 3.2 on windows-latest	22m 41s
Ruby 3.3 on windows-latest	21m 25s
Verify Jekyll website builds	12s
	2h 27m 12s

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