MD Settings: Migrate omnibox extension action menu to settings-action-menu.

chrome/browser/resources/settings/search_engines_page/omnibox_extension_entry.js

 // Copyright 2016 The Chromium Authors. All rights reserved.
 // Use of this source code is governed by a BSD-style license that can be
 // found in the LICENSE file.
 
 /**
  * @fileoverview 'settings-omnibox-extension-entry' is a component for showing
  * an omnibox extension with its name and keyword.
  */
 Polymer({
   is: 'settings-omnibox-extension-entry',
@@ skipping 18 matching lines @@
   },
 
   /** @private */
   onDisableTap_: function() {
     this.closePopupMenu_();
     this.browserProxy_.disableExtension(this.engine.extension.id);
   },
 
   /** @private */
   closePopupMenu_: function() {
-    this.$$('iron-dropdown').close();
+    this.$$('dialog[is=settings-action-menu]').close();
   },
 
   /**
    * @param {string} url
    * @return {string} A set of icon URLs.
    * @private
    */
   getIconSet_: function(url) {
     return cr.icon.getFavicon(url);
   },
+
+  /** @private */
+  onDotsTap_: function() {
+    /** @type {!SettingsActionMenuElement} */ (
+        this.$$('dialog[is=settings-action-menu]')).showAt(
+            assert(this.$$('paper-icon-button')));
+  },
 });