Make event-targeting asynchronous in window server.

services/ui/ws/window_server.cc

Index: services/ui/ws/window_server.cc
diff --git a/services/ui/ws/window_server.cc b/services/ui/ws/window_server.cc
index 67b312547b4c89e727ca8c52d56a89c92c95000e..2f655d48e3b47a56900f8d9a2cfc59046bcbe318 100644
--- a/services/ui/ws/window_server.cc
+++ b/services/ui/ws/window_server.cc
@@ -599,8 +599,6 @@ void WindowServer::UpdateNativeCursorFromMouseLocation(ServerWindow* window) {
     EventDispatcher* event_dispatcher =
         display_root->window_manager_state()->event_dispatcher();
     event_dispatcher->UpdateCursorProviderByLastKnownLocation();
-    display_root->window_manager_state()->cursor_state().SetCurrentWindowCursor(
-        event_dispatcher->GetCurrentMouseCursor());
   }
 }
 
@@ -616,8 +614,6 @@ void WindowServer::UpdateNativeCursorIfOver(ServerWindow* window) {
     return;
 
   event_dispatcher->UpdateNonClientAreaForCurrentWindow();
-  display_root->window_manager_state()->cursor_state().SetCurrentWindowCursor(
-      event_dispatcher->GetCurrentMouseCursor());
 }
 
 bool WindowServer::IsUserInHighContrastMode(const UserId& user) const {