Brings back upstream search widget on Android (#29416)

This is a revert of https://github.com/brave/brave-core/pull/28753
The reason: we received a lot of feedback from frustrated users that
the widget was very useful.
Resolves: https://github.com/brave/brave-browser/issues/46597

android/brave_java_resources.gni

@@ -106,6 +106,7 @@ brave_java_resources = [
   "java/res/drawable-mdpi/uphold_green.png",
   "java/res/drawable-mdpi/uphold_white.png",
   "java/res/drawable-night-nodpi/ic_quick_action_search_and_bookmark_widget_preview.png",
+  "java/res/drawable-night-nodpi/widget_preview.png",
   "java/res/drawable-night/bookmark_empty_state_illustration.xml",
   "java/res/drawable-night/ellipse_217.xml",
   "java/res/drawable-night/history_empty_state_illustration.xml",

chromium_src/chrome/android/expectations/lint-suppressions.xml

@@ -37,10 +37,6 @@
         <ignore regexp="The resource `R.drawable.quick_action_search_widget_.*` appears to be unused"/>
         <ignore regexp="The resource `R.drawable.hairline_border` appears to be unused"/>
         <ignore regexp="The resource `R.string.dino_widget_description` appears to be unused"/>
-        <ignore regexp="The resource `R.string.search_widget_description` appears to be unused"/>
-        <ignore regexp="The resource `R.string.search_widget_title` appears to be unused"/>
-        <ignore regexp="The resource `R.xml.search_widget_info` appears to be unused"/>
-        <ignore regexp="The resource `R.drawable.widget_preview` appears to be unused"/>
         <ignore regexp="The resource `R.style.IncognitoTextViewWithClickableSpans` appears to be unused"/>
         <ignore regexp="The resource `R.style.IncognitoNewTabLearnMoreLinkModernTextView` appears to be unused"/>
         <ignore regexp="The resource `R.style.IncognitoNewTabTextView` appears to be unused"/>

patches/chrome-android-java-AndroidManifest.xml.patch

@@ -1,5 +1,5 @@
 diff --git a/chrome/android/java/AndroidManifest.xml b/chrome/android/java/AndroidManifest.xml
-index 54244bbdcb5a7599c6182e6092236f29b4b7a795..06feab4bb82d43237dbcbd170d0dabf8ba313ffd 100644
+index 54244bbdcb5a7599c6182e6092236f29b4b7a795..02c2a50e2f23783c64113c3c022d446f4e3b8ded 100644
 --- a/chrome/android/java/AndroidManifest.xml
 +++ b/chrome/android/java/AndroidManifest.xml
 @@ -28,6 +28,7 @@ by a child template that "extends" this file.
@@ -90,23 +90,7 @@ index 54244bbdcb5a7599c6182e6092236f29b4b7a795..06feab4bb82d43237dbcbd170d0dabf8
  
          <!-- Bookmarks widget -->
          <receiver android:name="com.google.android.apps.chrome.appwidget.bookmarks.BookmarkThumbnailWidgetProvider"
-@@ -936,6 +952,7 @@ by a child template that "extends" this file.
-             android:exported="false" />
- 
-         <!-- Search widget -->
-+        <!-- 
-         <receiver
-                 android:name="org.chromium.chrome.browser.searchwidget.SearchWidgetProvider"
-                 android:label="@string/search_widget_title"
-@@ -947,6 +964,7 @@ by a child template that "extends" this file.
-                     android:name="android.appwidget.provider"
-                     android:resource="@xml/search_widget_info" />
-         </receiver>
-+         -->
- 
-         <!-- Search Activity -->
-         <activity android:name="org.chromium.chrome.browser.searchwidget.SearchActivity"
-@@ -1217,6 +1235,7 @@ by a child template that "extends" this file.
+@@ -1217,6 +1233,7 @@ by a child template that "extends" this file.
            </activity>
          {% endif %}