I had the same problem but you don’t need support for that. You have to tap on the rats, then they disappear and then you have a path to move the stone from the very right to the left hole
In the beginning the rats are blocking your way, I also thought first that there wasn’t a way to move this stone and that I chose the wrong hole. But when you tap the rats away you can do it.
Without the rats you can push the stone, then move around the lantern and pull it from the other side.