I picked out a sheet of material like you see in showers that is slick and strong. Had a workman install that wall and she never approached that wall again. She knew she couldn't get through it. I gave her cardboard boxes to dig in the sides of the boxes and she put holes in those boxes.
She never found a mouse or a rat in the holes she dug but I could have told her she wouldn't find any.
If I were to have a dog, I’d probably want some big galoot (I live in the country), but I’ve sometimes found little dogs somewhat beguiling, such as the all-black dachshunds I’ve seen , or the dachshund-chihuahua crosses (they don’t have a stable hybrid outcome last I knew, so they are all over the map for size and other characteristics, going from small enough for the vest pocket to a kind of Jack Russell-plus size).