MD Settings: Search page, remove last usage of chrome.searchPrivate API.

chrome/browser/resources/settings/search_page/search_page.css

Index: chrome/browser/resources/settings/search_page/search_page.css
diff --git a/chrome/browser/resources/settings/search_page/search_page.css b/chrome/browser/resources/settings/search_page/search_page.css
index 24b3126fbefdf2ad12afd09714e8f68e15cf587f..49ed33be09981823f9cce4b5ee48ab2823aabfd6 100644
--- a/chrome/browser/resources/settings/search_page/search_page.css
+++ b/chrome/browser/resources/settings/search_page/search_page.css
@@ -2,10 +2,6 @@
  * Use of this source code is governed by a BSD-style license that can be
  * found in the LICENSE file. */
 
-paper-button.search-engines-advanced {
-  margin-top: 10px;
-}
-
-#searchEnginesMenu {
+select {
   min-width: 150px;
 }