[CI] Introduce handcrafted action for clang-tidy, update clang-tidy version to 20 #3838

Job	Run time
pre-commit / pre-commit	1m 7s
mac / clang-build (Release)	1m 56s
mac / clang-build (Debug)	2m 2s
ubuntu / clang-build (ubuntu-24.04-arm)	51s
ubuntu / gcc-build (ubuntu-24.04, Release)	47s
ubuntu / gcc-build (ubuntu-24.04, Debug)	1m 10s
windows / msvc-build (Debug)	2m 51s
windows / clang-build	2m 14s
ubuntu / gcc-build (ubuntu-24.04-arm, Debug)	53s
ubuntu / gcc-build (ubuntu-24.04-arm, Release)	53s
windows / msvc-build (Release)	1m 44s
ubuntu / clang-build (ubuntu-24.04)	51s
ubuntu / clang-test (ubuntu-24.04-arm)	1m 40s
ubuntu / clang-sanitizer-build (ubuntu-24.04)	56s
ubuntu / clang-test (ubuntu-24.04)	1m 43s
ubuntu / gcc-test (ubuntu-24.04-arm)	1m 26s
ubuntu / gcc-test (ubuntu-24.04)	1m 29s
ubuntu / clang-sanitizer-test (ubuntu-24.04)	44s
mac / clang-test	46s
windows / clang-test	27s
ubuntu / gcc-test-extended	1s
ubuntu / clang-sanitizer-test-extended	1s
ubuntu / clang-test-extended	1s
ubuntu / gcc-build-codecov	1s
windows / clang-test-extended	1s
windows / msvc-test	1s
windows / msvc-test-extended	1s
mac / clang-test-extended	1s
perf	0s
pages	0s
	26m 38s

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