Add synchronous indexing api to SearchFeatureProvider

- Opens the database indexing to be synchronous for the
external settings api.
- Adds logging to track synchronous and async indexing
times.

Bug: 62826872
Test: make RunSettingsRoboTests
Change-Id: I28b69f3952946c0ae5dd7ea7da66f7a5fd485637

tests/robotests/src/com/android/settings/search/DatabaseIndexingManagerTest.java

@@ -35,6 +35,7 @@ import android.provider.SearchIndexableResource;
 import android.util.ArrayMap;
 
 import com.android.settings.R;
+import com.android.settings.testutils.FakeFeatureFactory;
 import com.android.settings.testutils.SettingsRobolectricTestRunner;
 import com.android.settings.TestConfig;
 import com.android.settings.testutils.DatabaseTestUtils;
@@ -131,6 +132,7 @@ public class DatabaseIndexingManagerTest {
         mDb = IndexDatabaseHelper.getInstance(mContext).getWritableDatabase();
 
         doReturn(mPackageManager).when(mContext).getPackageManager();
+        FakeFeatureFactory.setupForTest(mContext);
     }
 
     @After