My run is 2 by 3" welded wire with a chicken wire apron around the bottom.
2 x 3 wire won't keep rodents out and an apron isn't around the bottom. An apron is something that lays on the ground to keep digging predators out.
My run is covered, everything else is 1/2" hardware cloth as well as my apron, that is on the ground and out 18 - 24 inches. My coop and run are open 24/7, I sleep well at night.