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Refactor: update doc suffix and fix playground links #4208

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Job	Run time
codecov	1m 47s
e2e (22.x)	3m 40s
build (22.x, ubuntu-latest)	37s
build (22.x, macos-latest)	42s
lint	29s
build (22.x, windows-latest)	1m 38s
	8m 53s