Don't use privileged for targetless agent containers (#3041) #14028

Job	Run time
check_if_release_branch	1s
towncrier_check	7s
changed_files	11s
build mirrord CLI	0s
test_agent	3m 19s
lint	3m 29s
check-rust-docs	59s
integration_tests	12m 45s
macos_tests	20m 19s
test_agent_image	7m 35s
test_cli_image	6m 44s
lint_markdown	0s
intellij_e2e_on_release_branch	0s
e2e (docker)	13m 33s
vscode_e2e_on_release_branch	0s
e2e (containerd)	12m 23s
ci	1s
	1h 21m 26s

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