If it were me building those coops/runs with the hog panels, I would take the chicken wire down and replace it with 1/2" to 1" square galvanized welded wire cloth. The hog panel squares are large enough that most raccoons, opossums, weasels, and other chicken predators can get through those squares, and the chicken wire is just an annoyance to them; they'll chew through that pretty easily.
Here's the type of product I'm talking about, and it can be found at Lowes, Home Depot, even on Amazon. We like the 1" x 1" squares as it's a bit easier to see through but still provides the security we need in our urban area:
1/2" here:
https://www.homedepot.com/p/Fencer-...-Gauge-Hardware-Cloth-CA19-3X50MF12/306743896
Couldn't find the 1" squares, but they're out there...