[CI] Switch to use separate clang-tidy action #4902

Job	Run time
ci-scope	5s
pre-commit / pre-commit	2m 20s
pre-commit / link-check	2m 18s
windows / clang-build	1m 52s
windows / msvc-build (Debug)	3m 5s
windows / msvc-build (Release)	2m 0s
ubuntu / gcc-build (ubuntu-24.04, Release)	2m 4s
mac / clang-build (Release)	2m 11s
mac / clang-build (Debug)	2m 28s
ubuntu / gcc-build (ubuntu-24.04, Debug)	2m 5s
ubuntu / clang-build (ubuntu-24.04)	2m 32s
windows / clang-test	3m 15s
ubuntu / gcc-test (ubuntu-24.04)	8m 34s
mac / clang-test	4m 14s
ubuntu / clang-test (ubuntu-24.04)	8m 30s
ubuntu / clang-sanitizer-build (ubuntu-24.04)	3m 37s
windows / msvc-test	5m 5s
windows / clang-test-extended	3m 37s
ubuntu / clang-sanitizer-test (ubuntu-24.04)	2m 55s
windows / msvc-test-extended	2m 57s
mac / clang-test-extended	2m 44s
ubuntu / gcc-test-extended (ubuntu-24.04)	11m 57s
ubuntu / clang-sanitizer-test-extended (ubuntu-24.04)	2m 28s
ubuntu / clang-test-extended (ubuntu-24.04)	4m 41s
ubuntu / gcc-build-codecov	7m 21s
perf / ubuntu-gcc-build-perf-stats	38s
perf / macos-clang-build-perf-stats	1m 19s
pages / build-doxygen-xml	21s
pages / build-scoreboard	19s
pages / build-sphinx	38s
pages / deploy-pages	0s
	1h 38m 10s

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