Android: Use new play core API for activity

Built locally @265454220 and uploaded to CIPD. Updated ModuleInstaller
to use the new SplitCompat API. Add new play core activity to expected
manifest file.

Changes from original CL: Includes fix from play core for NPE.

Reland of original CL: https://crrev.com/c/1764804

Tbr: Reland with no chrome changes
Bug: 996212
Change-Id: I9de3a3c54beea64fc526a9b380eef2bd608a26c7
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/1771737Reviewed-by: Peter Wen <wnwen@chromium.org>
Commit-Queue: Peter Wen <wnwen@chromium.org>
Auto-Submit: Peter Wen <wnwen@chromium.org>
Cr-Commit-Position: refs/heads/master@{#690429}

DEPS

@@ -1455,7 +1455,7 @@ deps = {
       'packages': [
           {
               'package': 'chromium/third_party/android_deps/libs/com_google_android_play_core_verification',
-              'version': '4hAx_nDBLvvQHfRMqLEB4ot_jERn_Wpuwxuap5Ii4PsC',
+              'version': '0z_scbnHbcGHs7fem6R48_Cfgf7n-46yI7DEXkpkZcwC',
           },
       ],
       'condition': 'checkout_android',

chrome/android/java/monochrome_public_bundle__base_bundle_module.AndroidManifest.expected

@@ -887,6 +887,13 @@
         android:name="com.google.android.play.core.missingsplits.PlayCoreMissingSplitsActivity"
         android:process=":playcore_missing_splits_activity"
         android:stateNotNeeded="true"/>
+    <activity
+        android:enabled="false"
+        android:exported="false"
+        android:name="com.google.android.play.core.common.PlayCoreDialogWrapperActivity"
+        android:process=":playcore_dialog_wrapper_activity"
+        android:stateNotNeeded="true"
+        android:theme="@style/Theme.PlayCore.Transparent"/>
     <activity
         android:excludeFromRecents="true"
         android:exported="false"

components/module_installer/android/java/src/org/chromium/components/module_installer/ModuleInstallerImpl.java

@@ -68,7 +68,7 @@ import java.util.TreeSet;
         // SplitCompat#install should always be run for the application first before it is run for
         // any activities.
         init();
-        SplitCompat.install(activity);
+        SplitCompat.installActivity(activity);
     }
 
     @Override

third_party/google_android_play_core/README.chromium

@@ -7,7 +7,7 @@ License File: LICENSE
 Security Critical: yes
 
 Description:
-
+- Built from @264816199
 
 Local Modifications:
 - Unproguarded verification API.

third_party/google_android_play_core/com_google_android_play_core.info

@@ -8,6 +8,6 @@ has_native_libraries = false
 has_proguard_flags = false
 has_r_text_file = false
 is_manifest_empty = false
-resources = [  ]
+resources = [ "res/values/styles.xml" ]
 subjar_tuples = [  ]
 subjars = [  ]