First time I've noticed that in THIS lease, it is, however, a common lease requirement for every complex I've lived in for the last decade. I have not seen one since I moved to Indianapolis that did not have it and I tried to find one that did not. Having it, and enforcing it, are two different things. I've never seen it enforced or even asked. I think it is there in case your cat does damage from scratching though I can't imagine why it would be considered necessary since they all charge such high pet deposits. I paid over a deposit that was more than $500 at my last apartment.
Frankly this will be my last lease renewal here, I will have 17 months to save up and consider where to move next time (there is an advantage to such a long lease, plus I HATE to move). Someplace where I can still ride to my beloved country roads and that will have lower rent. At least that is my plan. I have to stay in the county to keep my job as I am a local government employee, it is a matter of a local ordinance.
There is a local pet rescue that takes in many types of pets, this includes small mammals and birds. I think that I will visit them and see what I think. I am leaning toward a set of parakeets or love birds, but we will see. I had them as a girl, and have wanted them as an adult - but not with a cat around. No rush, but I've time to consider my options,