[CI] Introduce handcrafted action for clang-tidy, update clang-tidy version to 20 #3840

Job	Run time
pre-commit / pre-commit	1m 13s
mac / clang-build (Debug)	45s
mac / clang-build (Release)	44s
windows / msvc-build (Debug)	35s
ubuntu / gcc-build (ubuntu-24.04, Debug)	34s
windows / msvc-build (Release)	37s
ubuntu / gcc-build (ubuntu-24.04-arm, Release)	31s
windows / clang-build	51s
ubuntu / gcc-build (ubuntu-24.04, Release)	32s
ubuntu / clang-build (ubuntu-24.04-arm)	31s
ubuntu / clang-build (ubuntu-24.04)	33s
ubuntu / gcc-build (ubuntu-24.04-arm, Debug)	29s
ubuntu / gcc-test	1s
ubuntu / gcc-test-extended	1s
ubuntu / clang-test	1s
ubuntu / clang-sanitizer-build	1s
ubuntu / clang-test-extended	1s
ubuntu / clang-sanitizer-test-extended	1s
ubuntu / clang-sanitizer-test	1s
ubuntu / gcc-build-codecov	1s
windows / msvc-test	1s
windows / msvc-test-extended	1s
mac / clang-test	1s
mac / clang-test-extended	1s
windows / clang-test	1s
windows / clang-test-extended	1s
perf	0s
pages	-1s
	8m 8s

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