test: add prefixed path cases for health probe skip tests

Cover the root_path scenario where probe paths become
/api/lightspeed/readiness and /api/lightspeed/liveness.

Signed-off-by: Major Hayden <major@redhat.com>

Author: major

tests/unit/authentication/test_rh_identity.py

@@ -467,7 +467,15 @@ def _mock_configuration(
         mocker.patch("authentication.rh_identity.configuration", mock_config)
 
     @pytest.mark.asyncio
-    @pytest.mark.parametrize("path", ["/readiness", "/liveness"])
+    @pytest.mark.parametrize(
+        "path",
+        [
+            "/readiness",
+            "/liveness",
+            "/api/lightspeed/readiness",
+            "/api/lightspeed/liveness",
+        ],
+    )
     async def test_probe_paths_skip_auth_when_enabled(
         self, mocker: MockerFixture, path: str
     ) -> None:
@@ -481,7 +489,15 @@ async def test_probe_paths_skip_auth_when_enabled(
         assert result == NO_AUTH_TUPLE
 
     @pytest.mark.asyncio
-    @pytest.mark.parametrize("path", ["/readiness", "/liveness"])
+    @pytest.mark.parametrize(
+        "path",
+        [
+            "/readiness",
+            "/liveness",
+            "/api/lightspeed/readiness",
+            "/api/lightspeed/liveness",
+        ],
+    )
     async def test_probe_paths_require_auth_when_disabled(
         self, mocker: MockerFixture, path: str
     ) -> None: