Remove calls to deprecated MessageLoop methods on Windows and Linux.

services/navigation/content_client/browser_main_parts.cc

 // 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.
 
 #include "services/navigation/content_client/browser_main_parts.h"
 
-#include "base/message_loop/message_loop.h"
+#include "base/run_loop.h"
 #include "content/public/common/mojo_shell_connection.h"
 #include "content/shell/browser/shell_browser_context.h"
 #include "content/shell/browser/shell_net_log.h"
 #include "services/navigation/navigation.h"
 #include "ui/views/mus/window_manager_connection.h"
 #include "ui/views/test/test_views_delegate.h"
 
 namespace navigation {
 
 BrowserMainParts::BrowserMainParts(
@@ skipping 17 matching lines @@
   browser_context_.reset(
       new content::ShellBrowserContext(false, net_log_.get()));
 }
 
 void BrowserMainParts::PostMainMessageLoopRun() {
   views_delegate_.reset();
   browser_context_.reset();
 }
 
 bool BrowserMainParts::MainMessageLoopRun(int* result_code) {
-  base::MessageLoop::current()->Run();
+  base::RunLoop().Run();
   return true;
 }
 
 }  // namespace navigation