Update permissions tests in `ProfileController` to use mock #7946

Job	Run time
codeql	2m 15s
dependency-review	4s
resolve_inputs	1s
install (ubuntu-latest, 18)	18s
install (ubuntu-latest, 20)	15s
install (ubuntu-latest, 22)	15s
install (macos-14, 18)	36s
install (macos-14, 20)	58s
install (macos-14, 22)	35s
install (windows-latest, 18)	2m 4s
install (windows-latest, 20)	2m 6s
install (windows-latest, 22)	2m 25s
check_pr_changesets	2m 24s
check_package_versions	34s
build (18)	1m 7s
check_pr_size	41s
build (20)	1m 7s
check_dependencies	1m 4s
build (22)	1m 5s
check_tsconfig_refs	16s
test_with_baseline_dependencies	2m 56s
handle_dependabot_version_update	0s
do_include_e2e	17s
update_package_versions	0s
docs_build_and_publish	1m 42s
check_api_extract	1m 27s
check_api_changes	6m 48s
e2e_amplify_outputs_backwards_compatibility	0s
e2e_backend_output	0s
e2e_create_amplify	0s
e2e_generate_deployment_tests_matrix	0s
e2e_generate_sandbox_tests_matrix	0s
e2e_iam_access_drift	0s
test_scripts	1m 20s
lint	1m 32s
e2e_package_manager	0s
test_with_coverage (ubuntu-latest, 18)	2m 53s
test_with_coverage (ubuntu-latest, 20)	2m 45s
test_with_coverage (ubuntu-latest, 22)	3m 45s
test_with_coverage (macos-14, 18)	3m 36s
test_with_coverage (macos-14, 20)	2m 56s
test_with_coverage (macos-14, 22)	3m 32s
test_with_coverage (windows-latest, 18)	6m 14s
test_with_coverage (windows-latest, 20)	6m 22s
test_with_coverage (windows-latest, 22)	7m 58s
e2e_deployment ${{ matrix.displayNames }} ${{ matrix.node-version }} ${{ matrix.os }}	0s
e2e_sandbox ${{ matrix.displayNames }} ${{ matrix.node-version }} ${{ matrix.os }}	0s
publish_package_versions	0s
	1h 16m 13s

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