Help with Links Awakening

I'm against Facade. I've run out of bombs, I haven't got Manbo's Mambo yet and I'm going for a no kill run. How do I beat Facade when I'm stuck in his room, bombless, and the only way to beat him is with bombs?

I think at some point he should start throwing bomb at you but that's later in the fight. So I guess you should just save and quit, and then go get some bombs and come back later.