Loop holding wire through a replacement patch of screen so you can pull on it and anchor it to maintain pressure. Knock the inside surface down with a strong solvent / cleaner to give the epoxy a decent surface to adhere too (solvent on rag, poke through holes with finger and wipe around). Odds on it's already rough enough but it can't hurt to rough it up a bit more, just make sure you clean it after roughing it up. Mix up and apply epoxy to rear edge and pull patch forward hard enough that the epoxy will go through the mesh and anchor it for the full curing duration of the epoxy and finally pull the hold wire out.
That's something similar to how fibro sheeting is repaired here - pull the patch up against the rear surface, let it cure, then fill with more epoxy / filler as level with the exterior surface as possible, and if need be sand down to meet the surface taking care to not hit the fibro itself since its full of asbestos.