That fence is not nearly high enough to keep chickens in OR foxes out without a roof. OR making the fence higher. Foxes can climb By the way. Even my heavy birds can fly up to the highest perch in the coop which is about four feet off the ground. If you clip their wings you remove all self protection ability they have.
By the way I have plans for covering my yard which is 50 Feet by 75. Couple of poles setup like teatherball with a ball on top and Aviary netting thrown over the top. Then fastened to the fence. In my case I will stretch cable as well but the principal is to put in an upright to hold the netting up. I have seen people use a swing set arrangement for net support. It will keep Chickens IN but not predators our. So that coop needs to be bullet proof. with a well fastened roof. I had a friend get his roof litterally PEELED back by racoons he lost thirty chickens.
How wide is your run there are several options. By the way that run should be dog proof too. I had a dog that could go over a six foot dog kennel panel.
My dogs will stay out and wont actively try to get in, but should a bird get out, all bets are off and all training goes out the window. Raccoons are an issue, too. The coop itself should be solid. We are converting an old shed.
The run will be about ten feet wide or so. Hubby is out buying more fence because the 40 feet he bought isn't enough.
I'm actually not sure how tall the chicken fence itself is. It's taller than the super yard. Oh, hubby just said it's 4 ft. He also just informed me he spent $240 on the fencing!