That little stinker LOL
I had one of those and the screen is a great idea - we had to back the outside of the screen with a decorative type of design work on it so she could not push the screen out. It is important that the decorated design. to be on the side they can climb on due to the chance of falls.
The screened door made her feel less closed in.
Good Luck! They do test us, don't they!