
He yanks the monster off of Genie, and this does damage Genie in a way. Just not in the most physically visible way until:

He starts to disappear, and then when the Thirdac comes after him again, he poofs away. To Aladdin, he can’t see that. He just sees the Thirdac got away from him and now Genie’s gone.

So he jumps on the damn thing and beats the Hell out of it.
No weapons. No magical gimmicks. No fear that its rows and rows of teeth could still seriously damage him. (Not to mention he DOES have a little magic in him, but this is neither the time nor the place.) He just goes after it and wails on it.
For all he knows, it just killed his best friend. He is going to kill it with his bare hands. Screw that Mozenrath wants it alive. In fact, if Genie had died just then, he probably would have gone after Mozenrath next, unless his friends stopped him.











