[chore] Move the logic to not propagate context propagation to async … #27300

Job	Run time
govulncheck	28s
setup-environment	10s
unittest-matrix (ubuntu-latest, ~1.23)	2m 43s
checks	2m 0s
unittest-matrix (ubuntu-latest, ~1.22)	2m 44s
lint	4m 40s
cross-build-collector (aix, ppc64)	42s
cross-build-collector (darwin, amd64)	47s
test-coverage	5m 44s
cross-build-collector (darwin, arm64)	41s
cross-build-collector (linux, 386)	40s
cross-build-collector (linux, amd64)	43s
cross-build-collector (linux, arm64)	44s
cross-build-collector (linux, ppc64le)	48s
cross-build-collector (linux, arm, 7)	42s
cross-build-collector (linux, s390x)	51s
cross-build-collector (windows, 386)	41s
cross-build-collector (windows, amd64)	41s
unittest	1s
	26m 30s

Provide feedback