[CI] Introduce handcrafted action for clang-tidy, update clang-tidy version to 20 #3841

Job	Run time
pre-commit / pre-commit	1m 14s
ubuntu / gcc-build (ubuntu-24.04, Release)	1m 6s
ubuntu / clang-build (ubuntu-24.04-arm)	50s
mac / clang-build (Debug)	1m 52s
ubuntu / gcc-build (ubuntu-24.04, Debug)	51s
ubuntu / gcc-build (ubuntu-24.04-arm, Release)	50s
windows / clang-build	1m 47s
mac / clang-build (Release)	2m 0s
windows / msvc-build (Release)	1m 52s
windows / msvc-build (Debug)	2m 51s
ubuntu / clang-build (ubuntu-24.04)	47s
ubuntu / gcc-build (ubuntu-24.04-arm, Debug)	54s
ubuntu / clang-test (ubuntu-24.04-arm)	8m 18s
ubuntu / clang-sanitizer-build (ubuntu-24.04)	53s
ubuntu / clang-test (ubuntu-24.04)	8m 26s
ubuntu / gcc-test (ubuntu-24.04-arm)	8m 14s
ubuntu / gcc-test (ubuntu-24.04)	8m 20s
windows / clang-test	2m 48s
ubuntu / clang-sanitizer-test (ubuntu-24.04)	2m 54s
mac / clang-test	4m 54s
windows / msvc-test	5m 39s
windows / clang-test-extended	3m 22s
ubuntu / clang-sanitizer-test-extended (ubuntu-24.04)	2m 24s
mac / clang-test-extended	3m 3s
windows / msvc-test-extended	3m 23s
ubuntu / clang-test-extended (ubuntu-24.04)	4m 44s
ubuntu / clang-test-extended (ubuntu-24.04-arm)	4m 33s
ubuntu / gcc-test-extended (ubuntu-24.04-arm)	4m 31s
ubuntu / gcc-test-extended (ubuntu-24.04)	4m 29s
ubuntu / gcc-build-codecov	6m 7s
perf	0s
pages	0s
	1h 43m 56s

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