Support highlighting the menu entry for Search results

1. Add a receiver to monitor the search state
2. Shoe/hide the menu highlight in the listener
3. Highlight the menu entry in SearchResultTrampoline
4. Enable/disable the receiver in SettingsInitialize

Bug: 205781792
Test: manual, robotest
Change-Id: Ia04901f504172f4f0c7b4b2ea7eda5f3713f676d

src/com/android/settings/activityembedding/ActivityEmbeddingRulesController.java

@@ -34,6 +34,7 @@ import com.android.settings.Settings;
 import com.android.settings.SubSettings;
 import com.android.settings.Utils;
 import com.android.settings.homepage.SettingsHomepageActivity;
+import com.android.settings.homepage.SliceDeepLinkHomepageActivity;
 
 import java.util.HashSet;
 import java.util.Set;
@@ -127,6 +128,15 @@ public class ActivityEmbeddingRulesController {
                 true /* finishPrimaryWithSecondary */,
                 true /* finishSecondaryWithPrimary */,
                 clearTop);
+
+        registerTwoPanePairRule(
+                context,
+                getComponentName(context, SliceDeepLinkHomepageActivity.class),
+                secondaryComponent,
+                secondaryIntentAction,
+                true /* finishPrimaryWithSecondary */,
+                true /* finishSecondaryWithPrimary */,
+                clearTop);
     }
 
     /** Register a SplitPairRule for SubSettings if the device supports 2-pane. */