[CI] Introduce handcrafted action for clang-tidy, update clang-tidy version to 20 #3839

Job	Run time
pre-commit / pre-commit	1m 12s
ubuntu / gcc-build (ubuntu-24.04, Debug)	51s
ubuntu / clang-build (ubuntu-24.04-arm)	48s
ubuntu / clang-build (ubuntu-24.04)	52s
ubuntu / gcc-build (ubuntu-24.04-arm, Release)	57s
ubuntu / gcc-build (ubuntu-24.04, Release)	54s
ubuntu / gcc-build (ubuntu-24.04-arm, Debug)	1m 6s
mac / clang-build (Debug)	1m 52s
windows / clang-build	2m 4s
windows / msvc-build (Release)	1m 31s
mac / clang-build (Release)	1m 59s
windows / msvc-build (Debug)	3m 21s
ubuntu / clang-sanitizer-build (ubuntu-24.04)	1m 1s
ubuntu / clang-test (ubuntu-24.04-arm)	4m 40s
ubuntu / clang-test (ubuntu-24.04)	4m 40s
ubuntu / gcc-test (ubuntu-24.04-arm)	4m 23s
ubuntu / gcc-test (ubuntu-24.04)	4m 25s
ubuntu / clang-sanitizer-test (ubuntu-24.04)	2m 49s
mac / clang-test	3m 45s
windows / clang-test	2m 53s
windows / msvc-test	2m 24s
ubuntu / clang-sanitizer-test-extended (ubuntu-24.04)	48s
windows / clang-test-extended	37s
ubuntu / clang-test-extended	1s
ubuntu / gcc-test-extended	1s
ubuntu / gcc-build-codecov	1s
mac / clang-test-extended	1s
windows / msvc-test-extended	1s
pages	0s
perf	0s
	49m 57s

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