Help Me Get Rid of Annoying Floating Google Messages Icon

Someone please help me find the setting to turn off the annoying floating ID icon I get whenever someone sends me a text message. This icon is very similar to the ID icon that is displayed during a phone call. This icon persists on all screens--home screen, secondary launcher screens, browser, emails, etc.

I can move this icon around each screen but it always snaps itself to the right or left edge of the screen.

If I get more than one person sending me a text, I get more than one floating icon on my screen(s). I can remove the floating icons by tapping, holding them and moving them towards the center of the dock area at the bottom of my screen, whereupon a discard icon appears and I "sweep" the ID icon into the discard icon and it disappears.

My text messaging app in Google Messages and my launcher is Nova Prime. I also happen to use the Google Messages desktop PC app that allows me to send/receive texts on my PC, but I doubt that is causing this problem as it happens even with my PC turned off.