The trick in this room is that the phantom needs to mimic the exact same route as the phantom is doing on the right side of the map. In order to do this, step on the green tile and then walk to the top-right most block. Then walk diagonally to the bottom-left most block. Then walk upwards but don’t quite touch the top-left most block. (Otherwise it will reset). Finish off the puzzle by walking diagonally to the bottom-right most block and step on the red title. This will cause the door in the center of the room to open up.