forget the cat. Find a rat terrier dog! Seriously tho, if the large glue traps aren’t working, there’s a gopher trap called a black box, under $20 at the hardware store. Wide opening one side, small hole the other side. It’s a spring latch that catches them under the armpits and there’s no chewing off a foot to escape. Use a shovel to pick the sprung trap up and dump trap and all into a 10gal bucket of water to make sure the job is finished. (you might want to check under the base kitchen or bathroom cabinets and see if you find a hole where the base meets the facing board, especially at a corner where the rat can get into a dead spot or the back of a long cabinet - a kangaroo mouse taught me that trick)
I found all the openings and have glue traps beneath them.
I might have to relent and try one of those, but I’m skeptical the critter will take the bait.
Will reply if so...