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docs: add category labels teaser and fix README links #7163

Job	Run time
Build	1m 33s
Linter	1m 33s
E2E tests (windows-latest)	7m 11s
Format check	48s
E2E tests (macos-latest)	3m 6s
Integration tests (windows-latest)	1m 52s
Unit tests (windows-latest)	1m 56s
E2E tests (ubuntu-latest)	3m 11s
Unit tests (macos-latest)	1m 28s
Integration tests (ubuntu-latest)	52s
Unit tests (ubuntu-latest)	54s
Integration tests (macos-latest)	1m 13s
	25m 37s