Amy and Bea have animosity, so no.
It's not YOUR invitation--you didn't initiate it, so it's not yours to control, so no.
(it doesn't matter that they are coming to you; the point is that they *initiated* the visit, so the basic invitation is theirs, and other than changing the time because of a schedule shift, you may not politely fiddle with it.)
Actually, even if Bea did get along quite nicely with them, it would be rude to mention including Bea to them. But ESPECIALLY if they snip at each other "usually," it would be extra bad form.
Good think you listened to that little voice! Wise of you--some of us don't.
(oh, look--there's a snake in the restaurant!)