Don't use privileged for targetless agent containers #14017

Job	Run time
changed_files	10s
check_if_release_branch	1s
towncrier_check	11s
build mirrord CLI	0s
check-rust-docs	1m 8s
lint	55s
integration_tests	8m 42s
macos_tests	8m 6s
test_agent	3m 23s
lint_markdown	0s
test_agent_image	6m 49s
test_cli_image	8m 13s
e2e (docker)	1m 19s
e2e (containerd)	1m 19s
vscode_e2e_on_release_branch	0s
intellij_e2e_on_release_branch	0s
ci	1s
	40m 17s

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