[CI] Switch to use separate clang-tidy action #4900

Job	Run time
ci-scope	5s
pre-commit / link-check	14s
pre-commit / pre-commit	2m 3s
ubuntu / clang-build (ubuntu-24.04)	3m 4s
mac / clang-build (Release)	2m 48s
ubuntu / gcc-build (ubuntu-24.04, Debug)	1m 52s
mac / clang-build (Debug)	2m 22s
ubuntu / gcc-build (ubuntu-24.04, Release)	2m 15s
windows / clang-build	2m 51s
windows / msvc-build (Release)	2m 9s
windows / msvc-build (Debug)	2m 48s
ubuntu / gcc-test (ubuntu-24.04)	8m 42s
windows / msvc-test	5m 1s
mac / clang-test	4m 28s
windows / clang-test	4m 7s
ubuntu / clang-test (ubuntu-24.04)	8m 33s
ubuntu / clang-sanitizer-build (ubuntu-24.04)	3m 28s
ubuntu / clang-sanitizer-test (ubuntu-24.04)	3m 11s
mac / clang-test-extended	2m 47s
windows / clang-test-extended	2m 53s
windows / msvc-test-extended	2m 49s
ubuntu / clang-sanitizer-test-extended (ubuntu-24.04)	2m 29s
ubuntu / gcc-test-extended (ubuntu-24.04)	4m 38s
ubuntu / clang-test-extended (ubuntu-24.04)	4m 46s
ubuntu / gcc-build-codecov	7m 19s
perf / ubuntu-gcc-build-perf-stats	47s
perf / macos-clang-build-perf-stats	1m 36s
pages / build-scoreboard	14s
pages / build-doxygen-xml	27s
pages / build-sphinx	38s
pages / deploy-pages	0s
	1h 31m 24s

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