[Sync] Fix namespaces for the browser_sync component.

ios/chrome/browser/sync/ios_chrome_profile_sync_service_factory.cc

 // Copyright 2015 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 "ios/chrome/browser/sync/ios_chrome_profile_sync_service_factory.h"
 
 #include <utility>
 
 #include "base/memory/ptr_util.h"
 #include "base/memory/singleton.h"
@@ skipping 20 matching lines @@
 #include "ios/chrome/browser/signin/about_signin_internals_factory.h"
 #include "ios/chrome/browser/signin/oauth2_token_service_factory.h"
 #include "ios/chrome/browser/signin/signin_client_factory.h"
 #include "ios/chrome/browser/signin/signin_manager_factory.h"
 #include "ios/chrome/browser/sync/ios_chrome_sync_client.h"
 #include "ios/chrome/browser/web_data_service_factory.h"
 #include "ios/chrome/common/channel_info.h"
 #include "ios/web/public/web_thread.h"
 #include "url/gurl.h"
 
+using browser_sync::ProfileSyncService;
+
 namespace {
 
 void UpdateNetworkTimeOnUIThread(base::Time network_time,
                                  base::TimeDelta resolution,
                                  base::TimeDelta latency,
                                  base::TimeTicks post_time) {
   GetApplicationContext()->GetNetworkTimeTracker()->UpdateNetworkTime(
       network_time, resolution, latency, post_time);
 }
 
@@ skipping 93 matching lines @@
   init_params.file_thread =
       web::WebThread::GetTaskRunnerForThread(web::WebThread::FILE);
   init_params.blocking_pool = web::WebThread::GetBlockingPool();
 
   auto pss = base::MakeUnique<ProfileSyncService>(std::move(init_params));
 
   // Will also initialize the sync client.
   pss->Initialize();
   return std::move(pss);
 }