I had to convert to an all hybrid set up for Beman. At 2 years old he was still trying to screen climb the front screen and fell from it. Last year I had to drop his basking level down so he could not try to access the top screen of the cage because at 5 years old he still was restless and trying to climb the top. Even with perfect husbandry and enclosure set up they will want out and want to wander. The issue with these behaviors though is breaking nails or falls. Beman has dealt with both. I would recommend a cage redo so he can not get directly on the screen like the lattice
@MissSkittles was talking about. You could also use 20 gauge marine grade vinyl for the door of the cage. you just rescreen it with this. Then they can not actively climb the side walls or the door but still have full airflow if that is a concern.