[CI] Introduce handcrafted action for clang-tidy, update clang-tidy version to 20 #3842

Job	Run time
pre-commit / pre-commit	1m 6s
mac / clang-build (Debug)	2m 1s
ubuntu / clang-build (ubuntu-24.04-arm)	1m 19s
ubuntu / clang-build (ubuntu-24.04)	1m 23s
mac / clang-build (Release)	2m 53s
ubuntu / gcc-build (ubuntu-24.04, Release)	1m 18s
ubuntu / gcc-build (ubuntu-24.04, Debug)	1m 14s
ubuntu / gcc-build (ubuntu-24.04-arm, Release)	1m 19s
ubuntu / gcc-build (ubuntu-24.04-arm, Debug)	1m 25s
windows / clang-build	3m 35s
windows / msvc-build (Debug)	2m 56s
windows / msvc-build (Release)	2m 15s
ubuntu / clang-sanitizer-build (ubuntu-24.04)	2m 5s
ubuntu / clang-test (ubuntu-24.04-arm)	8m 27s
ubuntu / clang-test (ubuntu-24.04)	8m 25s
ubuntu / gcc-test (ubuntu-24.04)	8m 24s
ubuntu / gcc-test (ubuntu-24.04-arm)	8m 18s
mac / clang-test	5m 6s
windows / msvc-test	4m 53s
ubuntu / clang-sanitizer-test (ubuntu-24.04)	3m 6s
windows / clang-test	3m 4s
ubuntu / clang-sanitizer-test-extended (ubuntu-24.04)	2m 22s
windows / clang-test-extended	2m 57s
windows / msvc-test-extended	3m 5s
mac / clang-test-extended	2m 55s
ubuntu / gcc-test-extended (ubuntu-24.04-arm)	1m 35s
ubuntu / gcc-test-extended (ubuntu-24.04)	1m 38s
ubuntu / clang-test-extended (ubuntu-24.04-arm)	1m 33s
ubuntu / clang-test-extended (ubuntu-24.04)	1m 37s
ubuntu / gcc-build-codecov	1s
pages	0s
perf	0s
	1h 32m 15s

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