Couldn’t you use painter’s tape? Unless your glue joint is thin, it won’t matter if some of the oil seeps past the tape. Pre-finishing is way easier than finishing after final assembly.

I’ve had buttons stop working. The mechanism inside that registers the click is a mechanical switch and they eventually die

If you can somehow manage to install software on your work laptop then I highly recommend Synergy. It is by far a better solution than a KVM and you could keep the keyboard and mouse plugged into your PC so no effect on gaming.