feat: port legacy client integration tests #245

Job	Run time
Check Style	15s
Check MSRV (1.63)	1m 21s
Test stable on ubuntu-latest	35s
Test with Miri	53s
Test stable on windows-latest	1m 21s
features	40s
Test stable on macOS-latest	52s
Test beta on ubuntu-latest	33s
Test beta on windows-latest	1m 12s
Test beta on macOS-latest	1m 44s
Test nightly on ubuntu-latest	32s
Test nightly on windows-latest	1m 24s
Test nightly on macOS-latest	52s
Build docs	21s
CI is green	1s
	12m 36s

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