Our culprit is in the first picture:)
If she senses a mole, there will be a fight. And if she likes to dig, maybe you should set aside a few squares for her. I had a Puli, a domestic sheepdog breed, which generally does not dig. But this one of mine dug all the way to China in search of a mole. Even the part of the yard that was intended for him was not enough. As soon as he appeared in the front yard, he would start digging.And in that part where he stayed, he didn't dig.
So far what we did seems to be working. She is not digging right now.
Great