[sync] Replace MessageLoopProxy usage with ThreadTaskRunnerHandle

sync/internal_api/public/util/weak_handle.cc

Index: sync/internal_api/public/util/weak_handle.cc
diff --git a/sync/internal_api/public/util/weak_handle.cc b/sync/internal_api/public/util/weak_handle.cc
index 0ed142ee35b03be5b048bea74f228cc8e3eae58c..d02b944486e6e35a4aac8b058c42658cd693e471 100644
--- a/sync/internal_api/public/util/weak_handle.cc
+++ b/sync/internal_api/public/util/weak_handle.cc
@@ -8,14 +8,14 @@
 
 #include "base/callback.h"
 #include "base/location.h"
-#include "base/message_loop/message_loop_proxy.h"
+#include "base/thread_task_runner_handle.h"
 
 namespace syncer {
 
 namespace internal {
 
 WeakHandleCoreBase::WeakHandleCoreBase()
-    : owner_loop_proxy_(base::MessageLoopProxy::current()) {}
+    : owner_loop_proxy_(base::ThreadTaskRunnerHandle::Get()) {}
 
 bool WeakHandleCoreBase::IsOnOwnerThread() const {
   return owner_loop_proxy_->BelongsToCurrentThread();