Remove calls to deprecated MessageLoop methods on Windows and Linux.

remoting/host/remoting_me2me_host.cc

 // Copyright (c) 2012 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.
 //
 // This file implements a standalone host process for Me2Me.
 
 #include <stddef.h>
 
 #include <cstdint>
 #include <memory>
 #include <string>
 #include <utility>
 
 #include "base/bind.h"
 #include "base/callback.h"
 #include "base/command_line.h"
 #include "base/debug/alias.h"
 #include "base/files/file_path.h"
 #include "base/files/file_util.h"
 #include "base/macros.h"
 #include "base/memory/ptr_util.h"
 #include "base/message_loop/message_loop.h"
+#include "base/run_loop.h"
 #include "base/single_thread_task_runner.h"
 #include "base/strings/string_number_conversions.h"
 #include "base/strings/string_util.h"
 #include "base/strings/stringize_macros.h"
 #include "base/strings/utf_string_conversions.h"
 #include "build/build_config.h"
 #include "ipc/attachment_broker_unprivileged.h"
 #include "ipc/ipc_channel.h"
 #include "ipc/ipc_channel_proxy.h"
 #include "ipc/ipc_listener.h"
@@ skipping 1627 matching lines @@
 
   // Create & start the HostProcess using these threads.
   // TODO(wez): The HostProcess holds a reference to itself until Shutdown().
   // Remove this hack as part of the multi-process refactoring.
   int exit_code = kSuccessExitCode;
   ShutdownWatchdog shutdown_watchdog(
       base::TimeDelta::FromSeconds(kShutdownTimeoutSeconds));
   new HostProcess(std::move(context), &exit_code, &shutdown_watchdog);
 
   // Run the main (also UI) message loop until the host no longer needs it.
-  message_loop.Run();
+  base::RunLoop().Run();
 
   return exit_code;
 }
 
 }  // namespace remoting