add LivelinessQuerier #312

Job	Run time
Typos Check	3s
Lints and doc tests on ubuntu-latest	12m 5s
Unit tests on ubuntu-latest	23m 17s
Lints and doc tests on windows-latest	16m 54s
Unit tests on windows-latest	33m 8s
Lints and doc tests on macos-13	28m 20s
Unit tests on macos-13	16m 34s
Lints and doc tests on macos-14	9m 14s
Unit tests on macos-14	12m 56s
Memory leak checks	2m 41s
CI status checks	1s
	2h 35m 13s

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