Are You Sleeping Over There?

Mr. Caleb has a teleportation circle and a hut that he can be in for up to eight hours as long as he stays within it. The tree is barren, but there are signs of life on the surface. Mr. Caleb also has a cat which he controls at all times. If we agitate the dragon while inside the dome, how do we get out of here? We don't really have a quick means of escape.