Does it really carry out?

Well, I was wondering -- could something "carry out" and be "w" at the same time?

Yes. Basically, carrying out is performing an action, but being w isn't, so there's no room for conflict. Just as you can be a nigger and perform analingus at the same time, or you just as you can defenestrate yourself and be an hero at the same time, it can both carry out and be w.