Fix sometimes deep link does not show in 2-pane

Settings.ACTION_SETTINGS_LARGE_SCREEN_DEEP_LINK starts
the activity-alias 'DeepLinkHomepageActivity', however,
if Settings app first time (from application cteation) starts
from the activity-alias 'Settings', framework will uses
'Settings' instead of DeepLinkHomepageActivity to match pair
rule. User will see full screen deep link for this case.

This change registers deep link pair rule for both the
activity-alias 'Settings' and 'DeepLinkHomepageActivity'.

Bug: 200131691
Test: manual
      1. Launch Settings from launcher.
      2. Launch Settings from Settings shortcut widget.
      3. Observe if the shortcut page shows in  2-pane.
Change-Id: Ice9d09f3545a02603f529d5d19e621ae82302004
diff --git a/src/com/android/settings/homepage/SettingsHomepageActivity.java b/src/com/android/settings/homepage/SettingsHomepageActivity.java
index f073a61..c065c75 100644
--- a/src/com/android/settings/homepage/SettingsHomepageActivity.java
+++ b/src/com/android/settings/homepage/SettingsHomepageActivity.java
@@ -24,7 +24,6 @@
 import android.content.Intent;
 import android.content.pm.PackageManager;
 import android.os.Bundle;
-import android.provider.Settings;
 import android.text.TextUtils;
 import android.util.FeatureFlagUtils;
 import android.util.Log;
@@ -40,6 +39,7 @@
 import androidx.window.embedding.SplitController;
 
 import com.android.settings.R;
+import com.android.settings.Settings;
 import com.android.settings.Utils;
 import com.android.settings.accounts.AvatarViewMixin;
 import com.android.settings.core.CategoryMixin;
@@ -180,12 +180,12 @@
 
         final Intent intent = getIntent();
         if (intent == null || !TextUtils.equals(intent.getAction(),
-                Settings.ACTION_SETTINGS_LARGE_SCREEN_DEEP_LINK)) {
+                android.provider.Settings.ACTION_SETTINGS_LARGE_SCREEN_DEEP_LINK)) {
             return;
         }
 
         final String intentUriString = intent.getStringExtra(
-                Settings.EXTRA_SETTINGS_LARGE_SCREEN_DEEP_LINK_INTENT_URI);
+                android.provider.Settings.EXTRA_SETTINGS_LARGE_SCREEN_DEEP_LINK_INTENT_URI);
         if (TextUtils.isEmpty(intentUriString)) {
             Log.e(TAG, "No EXTRA_SETTINGS_LARGE_SCREEN_DEEP_LINK_INTENT_URI to deep link");
             finish();
@@ -215,12 +215,17 @@
 
         targetIntent.putExtra(EXTRA_IS_FROM_SETTINGS_HOMEPAGE, true);
 
-        // Set 2-pane pair rule for the external deep link page.
+        // Set 2-pane pair rule for the deep link page.
         ActivityEmbeddingRulesController.registerTwoPanePairRule(this,
                 new ComponentName(Utils.SETTINGS_PACKAGE_NAME, ALIAS_DEEP_LINK),
                 targetComponentName,
                 true /* finishPrimaryWithSecondary */,
                 true /* finishSecondaryWithPrimary */);
+        ActivityEmbeddingRulesController.registerTwoPanePairRule(this,
+                new ComponentName(Settings.class.getPackageName(), Settings.class.getName()),
+                targetComponentName,
+                true /* finishPrimaryWithSecondary */,
+                true /* finishSecondaryWithPrimary */);
         startActivity(targetIntent);
     }