diff --git a/google/cloud/servicedirectory_v1beta1/services/registration_service/client.py b/google/cloud/servicedirectory_v1beta1/services/registration_service/client.py
index 24c06ee7..eee91499 100644
--- a/google/cloud/servicedirectory_v1beta1/services/registration_service/client.py
+++ b/google/cloud/servicedirectory_v1beta1/services/registration_service/client.py
@@ -150,22 +150,6 @@ def from_service_account_file(cls, filename: str, *args, **kwargs):
 
     from_service_account_json = from_service_account_file
 
-    @staticmethod
-    def service_path(project: str, location: str, namespace: str, service: str) -> str:
-        """Return a fully-qualified service string."""
-        return "projects/{project}/locations/{location}/namespaces/{namespace}/services/{service}".format(
-            project=project, location=location, namespace=namespace, service=service
-        )
-
-    @staticmethod
-    def parse_service_path(path: str) -> Dict[str, str]:
-        """Parse a service path into its component segments."""
-        m = re.match(
-            r"^projects/(?P<project>.+?)/locations/(?P<location>.+?)/namespaces/(?P<namespace>.+?)/services/(?P<service>.+?)$",
-            path,
-        )
-        return m.groupdict() if m else {}
-
     @staticmethod
     def endpoint_path(
         project: str, location: str, namespace: str, service: str, endpoint: str
@@ -204,6 +188,22 @@ def parse_namespace_path(path: str) -> Dict[str, str]:
         )
         return m.groupdict() if m else {}
 
+    @staticmethod
+    def service_path(project: str, location: str, namespace: str, service: str) -> str:
+        """Return a fully-qualified service string."""
+        return "projects/{project}/locations/{location}/namespaces/{namespace}/services/{service}".format(
+            project=project, location=location, namespace=namespace, service=service
+        )
+
+    @staticmethod
+    def parse_service_path(path: str) -> Dict[str, str]:
+        """Parse a service path into its component segments."""
+        m = re.match(
+            r"^projects/(?P<project>.+?)/locations/(?P<location>.+?)/namespaces/(?P<namespace>.+?)/services/(?P<service>.+?)$",
+            path,
+        )
+        return m.groupdict() if m else {}
+
     def __init__(
         self,
         *,
diff --git a/synth.metadata b/synth.metadata
index 4a3ef5b3..1eeba80e 100644
--- a/synth.metadata
+++ b/synth.metadata
@@ -19,14 +19,14 @@
       "git": {
         "name": "synthtool",
         "remote": "https://github.com/googleapis/synthtool.git",
-        "sha": "4e1d2cb79b02d7496b1452f91c518630c207145e"
+        "sha": "385d537832113984af2d033aaf353f0432256527"
       }
     },
     {
       "git": {
         "name": "synthtool",
         "remote": "https://github.com/googleapis/synthtool.git",
-        "sha": "4e1d2cb79b02d7496b1452f91c518630c207145e"
+        "sha": "385d537832113984af2d033aaf353f0432256527"
       }
     }
   ],
diff --git a/tests/unit/servicedirectory_v1beta1/test_registration_service.py b/tests/unit/servicedirectory_v1beta1/test_registration_service.py
index 56a58ac2..ced075fa 100644
--- a/tests/unit/servicedirectory_v1beta1/test_registration_service.py
+++ b/tests/unit/servicedirectory_v1beta1/test_registration_service.py
@@ -1728,35 +1728,6 @@ def test_registration_service_grpc_transport_channel_mtls_with_adc(
         assert transport.grpc_channel == mock_grpc_channel
 
 
-def test_service_path():
-    project = "squid"
-    location = "clam"
-    namespace = "whelk"
-    service = "octopus"
-
-    expected = "projects/{project}/locations/{location}/namespaces/{namespace}/services/{service}".format(
-        project=project, location=location, namespace=namespace, service=service
-    )
-    actual = RegistrationServiceClient.service_path(
-        project, location, namespace, service
-    )
-    assert expected == actual
-
-
-def test_parse_service_path():
-    expected = {
-        "project": "oyster",
-        "location": "nudibranch",
-        "namespace": "cuttlefish",
-        "service": "mussel",
-    }
-    path = RegistrationServiceClient.service_path(**expected)
-
-    # Check that the path construction is reversible.
-    actual = RegistrationServiceClient.parse_service_path(path)
-    assert expected == actual
-
-
 def test_endpoint_path():
     project = "squid"
     location = "clam"
@@ -1811,3 +1782,32 @@ def test_parse_namespace_path():
     # Check that the path construction is reversible.
     actual = RegistrationServiceClient.parse_namespace_path(path)
     assert expected == actual
+
+
+def test_service_path():
+    project = "squid"
+    location = "clam"
+    namespace = "whelk"
+    service = "octopus"
+
+    expected = "projects/{project}/locations/{location}/namespaces/{namespace}/services/{service}".format(
+        project=project, location=location, namespace=namespace, service=service
+    )
+    actual = RegistrationServiceClient.service_path(
+        project, location, namespace, service
+    )
+    assert expected == actual
+
+
+def test_parse_service_path():
+    expected = {
+        "project": "oyster",
+        "location": "nudibranch",
+        "namespace": "cuttlefish",
+        "service": "mussel",
+    }
+    path = RegistrationServiceClient.service_path(**expected)
+
+    # Check that the path construction is reversible.
+    actual = RegistrationServiceClient.parse_service_path(path)
+    assert expected == actual