Add update menu item and app menu icon badge

tools/metrics/histograms/histograms.xml

Index: tools/metrics/histograms/histograms.xml
diff --git a/tools/metrics/histograms/histograms.xml b/tools/metrics/histograms/histograms.xml
index 7114c09100261a8645c16bf02149e0dbf6a36e71..2455f4683d8fb891442bd4387b2b87ceafda28da 100644
--- a/tools/metrics/histograms/histograms.xml
+++ b/tools/metrics/histograms/histograms.xml
@@ -14673,6 +14673,24 @@ http://cs/file:chrome/histograms.xml - but prefer this file for new entries.
   </summary>
 </histogram>
 
+<histogram name="GoogleUpdate.MenuItem.ActionTakenAfterItemClicked"
+    enum="GoogleUpdateAfterItemClickedActions">
+  <owner>twellington@chromium.org</owner>
+  <summary>
+    (Android-only) Records whether Chrome was updated after the update menu item
+    was clicked.
+  </summary>
+</histogram>
+
+<histogram name="GoogleUpdate.MenuItem.ActionTakenOnMenuOpen"
+    enum="GoogleUpdateMenuItemActions">
+  <owner>twellington@chromium.org</owner>
+  <summary>
+    (Android-only) Records whether the update menu item was clicked when the app
+    menu was opened.
+  </summary>
+</histogram>
+
 <histogram name="GoogleUpdate.UnexpectedState">
   <owner>grt@chromium.org</owner>
   <summary>
@@ -65327,6 +65345,11 @@ http://cs/file:chrome/histograms.xml - but prefer this file for new entries.
   <int value="13" label="WEB_LOGIN_REQUIRED"/>
 </enum>
 
+<enum name="GoogleUpdateAfterItemClickedActions" type="int">
+  <int value="0" label="Updated"/>
+  <int value="1" label="Not updated"/>
+</enum>
+
 <enum name="GoogleUpdateErrorCode" type="int">
   <int value="0" label="GOOGLE_UPDATE_NO_ERROR"/>
   <int value="1" label="CANNOT_UPGRADE_CHROME_IN_THIS_DIRECTORY"/>
@@ -65347,6 +65370,12 @@ http://cs/file:chrome/histograms.xml - but prefer this file for new entries.
   <int value="3" label="InfoBar dismissed implicitly (no interaction)"/>
 </enum>
 
+<enum name="GoogleUpdateMenuItemActions" type="int">
+  <int value="0" label="Not clicked"/>
+  <int value="1" label="Clicked, intent launched"/>
+  <int value="2" label="Clicked, intent failed"/>
+</enum>
+
 <enum name="GoogleUpdateUpgradeStatus" type="int">
   <int value="0" label="UPGRADE_STARTED"/>
   <int value="1" label="UPGRADE_CHECK_STARTED"/>