Don't use privileged for targetless agent containers #14019

Job	Run time
towncrier_check	8s
check_if_release_branch	1s
changed_files	5s
build mirrord CLI	0s
check-rust-docs	1m 2s
lint	3m 31s
integration_tests	9m 52s
test_agent	3m 24s
macos_tests	26m 38s
test_agent_image	31s
test_cli_image	15m 45s
lint_markdown	0s
e2e (docker)	40m 21s
e2e (containerd)	14m 29s
intellij_e2e_on_release_branch	0s
vscode_e2e_on_release_branch	0s
ci	1s
	1h 55m 48s

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