create-playwright CI

docs: directly link to `playwright` in `README.md` #337

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Run time

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Job	Run time
build (18.x, ubuntu-latest)	3m 25s
build (18.x, windows-latest)	5m 9s
build (18.x, macos-latest)	3m 6s
build (20.x, ubuntu-latest)	3m 7s
build (20.x, windows-latest)	3m 13s
build (20.x, macos-latest)	3m 1s
	21m 1s