Refactor `mq_from_client` to `client_to_core` to be more precise #571

Job	Run time
unit_tests (3.7)	4m 30s
unit_tests (3.8)	7m 14s
unit_tests (3.9)	5m 34s
docker_build_tests / docker_build_tests	6m 25s
py_build_tests / py_build_tests	6s
py_build_tests / relative_path_tests	10s
	23m 59s

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