suggestions for screen door with dog

If the pup won't be trained and obey commands from it's master to leave the door alone, electric fencer connected to an insulated grid screen. Adjust it to unpleasant tickle.

Plexi is good but blocks air flow
Extruded aluminum Grid might work but Well there's a downside there too.

Here are two suggestions that allow air flow.. NOTE: Google searched never done business with the company so this is "Idea" only.

Expanded Aluminum Screen

Peforated aluminum sheet

Dog training and obedience. No other method will work for long.

The screen door pops open easily, so with the plexiglass over the bottom half of the door (so you can still see out of it) also put a sliding bolt inside just below the opening where you get at the main door handle.

From outside you can reach in and undo the sliding bolt. But be careful not to close the main door while that bolt is across or now you can't get in! ( You can but you have to overcome the way the door and screen door hold together)

Lowes and Home Depot sell pet resistant screening, it's pretty stout stuff. You cold also try a plexiglass sheet and small self tapping screws on the bottom of the screen door. The Plexiglass can probably be the the thinnest and cheapest they sell at the same home improvement stores above.

Screen strips if access is desired. The strips overlap each other.

I’ll go out on a limb and say that there isn’t a RV screen door that is made that will withstand even a half hearted attempt by an 80lb dog to go through it.
If you’re concerned about the dog getting out, the storm door will need to be closed.
If you’re worried about the door, reinforcing the screen area will just destroy the door of the dog pushes on it.
And if it’s a Husky, you’re quite likely concerned about the first thing.

Get a piece of plexiglass. Easily cut to size and screw into door.

Look for expanded metal sheets at hardware stores.