Weird remote desktop bug

I have been playing part-time on a Chromebook via the official Microsoft Remote Desktop app. This works just great, and is a convenient way to "bring my gaming machine" to the living room.  However, when I go back to my gaming machine, there is a weird artifact -- the game no longer registers clicks exactly where the pointer is.  Instead, the clicks register about an inch away, diagonally below and to the right of where I am pointing.  The only way to fix this is to save/exit, then restart.

It's clearly not a showstopper, but it is mighty annoying.