Security Boss:
https://www.securitybossmanufacturing.com
I've had Security Boss doors for 20 years (the 20-year-old one is still daily use), I highly recommend them. The MaxSeal Pro is the one we have and I've put in 2 more over the years in other places and they've also been flawless.
https://www.securitybossmanufacturin...Door_Model.htm
When the flaps eventually get shitted up (they last a long time, but not forever), you can order replacement flaps and it's easy to put them in. The security panel is beefy and locks in place, very solid system.
Not sure but it seems like the soft panels of the SB would be easier for a cat to handle, they'd only have to push one corner open instead of a whole rigid panel. Hey it's a theory.