sync: move internal_api components used by chrome/browser into internal_api/public

sync/notifier/non_blocking_invalidation_notifier.h

Index: sync/notifier/non_blocking_invalidation_notifier.h
diff --git a/sync/notifier/non_blocking_invalidation_notifier.h b/sync/notifier/non_blocking_invalidation_notifier.h
index c4f288071eda1a5587aeb3cdb517637c68098fa4..c7ee34f0736067ca3b132db32cb16af6f8239b24 100644
--- a/sync/notifier/non_blocking_invalidation_notifier.h
+++ b/sync/notifier/non_blocking_invalidation_notifier.h
@@ -17,10 +17,10 @@
 #include "base/memory/weak_ptr.h"
 #include "base/observer_list.h"
 #include "jingle/notifier/base/notifier_options.h"
+#include "sync/internal_api/public/util/weak_handle.h"
 #include "sync/notifier/invalidation_state_tracker.h"
 #include "sync/notifier/sync_notifier.h"
 #include "sync/notifier/sync_notifier_observer.h"
-#include "sync/util/weak_handle.h"
 
 namespace base {
 class MessageLoopProxy;