It's a good thing he's not saying them out loud, then, because it would dampen his mood to have a plan foiled. He'll connect the dots later when he remembers how Keo mentioned that wizardry doesn't like to transport to other worlds. Best to leave him in blissful ignorance until then.

Them heading back to the school occurs. On the way back, Adarin asks for an explanation of how dragons work, in more depth. He's curious.