Remove msg-sending IO from Connection protocol #5658

Job	Run time
verify-code-formatting	19s
clippy-aries-vcx	3m 34s
check-aries-vcx-feature-variants	6m 41s
check-did-resolver-feature-variants	2m 46s
clippy-libvcx	3m 21s
workflow-setup	28s
build-docker-android	10m 51s
code-coverage-aries-vcx-integration-modular-libs	35m 1s
build-docker-alpine-core	44s
workflow-setup-check	1s
test-integration-aries-vcx (vdrtools)	29m 6s
test-integration-aries-vcx (modular_libs)	30m 10s
test-integration-aries-vcx-migration	25m 11s
test-integration-aries-vcx-mysql	11m 18s
test-unit-workspace (anoncreds_vdrtools)	6m 56s
test-unit-workspace (anoncreds_credx)	7m 56s
test-integration-libvcx (anoncreds_vdrtools)	7m 52s
test-integration-libvcx (anoncreds_credx)	10m 31s
test-integration-libvcx-c (anoncreds_vdrtools)	7m 1s
test-integration-libvcx-c (anoncreds_credx)	7m 3s
test-integration-resolver	7m 7s
test-node-wrapper (18.x)	8m 24s
build-and-publish-darwin-lib	19m 20s
build-and-publish-ubuntu-lib	20m 7s
test-integration-node-wrapper (18.x)	15m 30s
x86_64-unknown-linux-gnu	14m 9s
x86_64-unknown-linux-musl	21m 31s
x86_64-apple-darwin	7m 47s
aarch64-apple-darwin	44m 59s
build-docker-vdrproxy	12m 36s
build-docker-libvcx	23m 37s
test-integration-aries-vcx-vdrproxy	29m 36s
publish-docker-vdrproxy	8s
make-release	0s
publish-docker-libvcx	12s
publish-napi	47s
publish-node-wrapper	29s
publish-agent-core	59s
	7h 14m 8s

Provide feedback