Add launch mode integration tests #11196

Job	Run time
build_node (ubuntu-latest)	1m 20s
build_node (macos-latest)	1m 45s
build_node (windows-latest)	8m 5s
lint_ruby	18s
lint_node	55s
Ruby 3.1 on ubuntu-latest	16m 5s
spelling	16s
Ruby 3.2 on ubuntu-latest	13m 28s
Verify Jekyll website builds	8s
Ruby 3.3 on ubuntu-latest	10m 58s
Ruby 3.1 on macos-latest	8m 34s
Ruby 3.2 on macos-latest	8m 15s
Ruby 3.3 on macos-latest	7m 1s
Ruby 3.1 on windows-latest	21m 5s
Ruby 3.2 on windows-latest	19m 46s
Ruby 3.3 on windows-latest	20m 47s
	2h 18m 46s

Provide feedback