Add SemVer compatibility checks #9368

Job	Run time
Lints and doc tests on ubuntu-latest	16m 31s
Unit tests on ubuntu-latest	22m 49s
Typos Check	6s
Lints and doc tests on windows-latest	24m 48s
Unit tests on windows-latest	33m 36s
Lints and doc tests on macos-13	21m 59s
Unit tests on macos-13	18m 12s
Lints and doc tests on macos-14	13m 46s
Unit tests on macos-14	12m 36s
Memory leak checks	2m 12s
CI status checks	1s
	2h 46m 36s

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