If you live in an apartment, just don’t get one
Reasoning edit: pets, especially cats, will leave a smell all over furniture. Cleaning becomes an even worse chore due to the fur. They also require “house training” in order to not chew/claw/destroy most stuff that’s lying around the house.
If we don’t keep pets in the house where do we keep them? Constantly outside? Do we build a separate shed for them? What about fish? Can people keep fish inside? Or lizards? Or Guinea pigs? Or Hamsters? Or gerbils? Or any of the myriad of other small animals that people keep in terrariums/aquariums and can’t be kept outside?
The problem with citing that fallacy is that your position is already absurd without reduction.