Remove `SyncResolve` and `AsyncResolve` #8781

Job	Run time
Lints and doc tests on ubuntu-latest	8m 33s
Typos Check	3s
Lints and doc tests on windows-latest	12m 4s
Unit tests on ubuntu-latest	20m 31s
Lints and doc tests on macos-13	12m 54s
Unit tests on windows-latest	31m 30s
Lints and doc tests on macos-14	5m 31s
Unit tests on macos-13	13m 13s
Unit tests on macos-14	11m 15s
Memory leak checks	2m 5s
CI status checks	1s
	1h 57m 40s

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