How do I get rid of of the airplay icon floating around on my screensaver on my bappletv?

Hi ve7tbc. Turn off Conference Room in Settings > AirPlay, as already described in this thread.

Did you get an answer? I too hate that floating AirPlaying around nuisance.

Welcome to the Apple Community.

Settings > AirPlay > Conference Room Display > Off.

Press Command and while holding it drag the icon to the desktop