support: Add database query test of single realm and remote realm views.

Gives a baseline of current database queries for these single realm
or remote realm support views, so that as we add features to these
views, we can better manage how those changes impact the performance
of our support views in general.

corporate/tests/test_support_views.py

@@ -170,6 +170,13 @@ class TestRemoteServerSupportEndpoint(ZulipTestCase):
             remote_server=remote_realm.server, email="server-admin@example.com"
         )
 
+    def test_remote_support_view_queries(self) -> None:
+        iago = self.example_user("iago")
+        self.login_user(iago)
+        with self.assert_database_query_count(28):
+            result = self.client_get("/activity/remote/support", {"q": "zulip-3.example.com"})
+            self.assertEqual(result.status_code, 200)
+
     def test_search(self) -> None:
         def assert_server_details_in_response(
             html_response: "TestHttpResponse", hostname: str
@@ -737,6 +744,13 @@ class TestSupportEndpoint(ZulipTestCase):
         )
         return customer
 
+    def test_realm_support_view_queries(self) -> None:
+        iago = self.example_user("iago")
+        self.login_user(iago)
+        with self.assert_database_query_count(16):
+            result = self.client_get("/activity/support", {"q": "zulip"}, subdomain="zulip")
+            self.assertEqual(result.status_code, 200)
+
     def test_search(self) -> None:
         reset_email_visibility_to_everyone_in_zulip_realm()
         lear_user = self.lear_user("king")