ci: do not block on downstream dogweb job [backport 2.10] (#10415) #54671

Job	Run time
build-and-publish-latest-snapshot-image	0s
test_unit (dd-lib-python-init-test-django)	3m 14s
test_unit_no_instrumentation (dd-lib-python-init-test-django-unsupported-python)	3m 8s
test_unit (dd-lib-python-init-test-django-gunicorn)	3m 18s
test_unit_no_instrumentation (dd-lib-python-init-test-django-unsupported-package)	3m 26s
test_unit (dd-lib-python-init-test-django-gunicorn-alpine)	3m 14s
test_unit (dd-lib-python-init-test-django-uvicorn)	3m 0s
test_unit (dd-lib-python-init-test-django-no-perms)	2m 57s
test_unit (dd-lib-python-init-test-django-pre-installed)	3m 16s
test_unit (dd-lib-python-init-test-django-unsupported-package-force)	3m 10s
build-and-publish-test-image / wait_for_package	13s
build-and-publish-test-image / build_push / build_push	12m 53s
test-runner-test	0s
	41m 49s

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