[CI] Integrate lychee action for links availability checks (#742) #4596

Job	Run time
pre-commit / link-check	17s
pre-commit / check-file-sizes	5s
pre-commit / pre-commit	2m 2s
ubuntu / clang-build (ubuntu-24.04)	2m 39s
windows / msvc-build (Debug)	3m 19s
windows / msvc-build (Release)	1m 40s
mac / clang-build (Release)	1m 50s
windows / clang-build	2m 55s
ubuntu / gcc-build (ubuntu-24.04, Release)	2m 22s
ubuntu / gcc-build (ubuntu-24.04, Debug)	2m 9s
mac / clang-build (Debug)	2m 39s
ubuntu / gcc-test (ubuntu-24.04)	8m 24s
ubuntu / clang-sanitizer-build (ubuntu-24.04)	3m 12s
ubuntu / clang-test (ubuntu-24.04)	8m 31s
mac / clang-test	5m 25s
windows / clang-test	2m 59s
windows / msvc-test	4m 41s
ubuntu / clang-sanitizer-test (ubuntu-24.04)	2m 50s
windows / clang-test-extended	2m 45s
windows / msvc-test-extended	2m 45s
mac / clang-test-extended	2m 36s
ubuntu / clang-sanitizer-test-extended (ubuntu-24.04)	2m 28s
ubuntu / gcc-test-extended (ubuntu-24.04)	4m 43s
ubuntu / clang-test-extended (ubuntu-24.04)	4m 35s
ubuntu / gcc-build-codecov	7m 43s
perf / ubuntu-gcc-build-perf-stats	1m 20s
perf / macos-clang-build-perf-stats	3m 33s
pages / build-doxygen-xml	20s
pages / build-scoreboard	20s
pages / build-sphinx	38s
pages / deploy-pages	0s
	1h 31m 45s

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