[Fort Aegis Resort]

"That's a logical-" Ambrosia starts but quickly stops herself. "It doesn't matter, let's just find some clothes, shall we?"

And presuambly, they do!

Ambrosia's robe does not seem to be from the spa itself however, did she bring her own? She didn't carrying anything like that in, that's for sure. It's purple (of course) so it does seem to be made to fit her asthetics.
But once they're done changing I think it can be assumed they're guided to wherever they're supposed to be.