I wouldn’t want to be a mouse who bribes cats even if it worked 100 times in row, come on. “Don’t sweat it, this tiger is cool to walk past if I give it a steak. I have done it a bunch.” Said no one ever. And another problem is that the next strange cat that sees the bribing mouse is not going to get the program right away.
Freegards
There are kitties who will play harmlessly with pet mice, though. It depends on how well they are fed. If not hungry, they may not bother the mouse.