Vegan

They need an appropriate array of vitamins, nutrients, and calories to stay alive. The way they do this naturally is to eat meat, but it's not the meat specifically that they need.

I don't know much about cats but this seems reasonable: https://cats.com/vegan-cat-food

Vegan cat food isn’t natural. It’s not normal. Cats will always want to kill and eat other animals. And yet—our cats aren’t natural.

Dr. Jennifer Coates, says “While it may be possible for a veterinary nutritionist to design a “vegan” recipe for cats that wouldn’t lead to disease, it would have to contain large amounts of nutritional supplements, some of which would probably have animal origins, raising the question of whether that diet would truly be vegan. Even more importantly, the goal in feeding pets is not simply to avoid diet-related illness but to promote optimal health and wellbeing. I sincerely doubt this is possible with vegan cat food.”

Before I was vegan I had a girlfriend who wanted an "emotional support cat". I was uncomfortable with the idea and resisted for a while but eventually we got a rescue cat. Then we broke up and I kept the cat. I love her and she's sleeping in her bed next to me on my desk as I type this. I'm one of probably hundreds of likely scenarios where a vegan ends up with a pet despite agreement with the ethical issues.

Animal shelters are full of animals waiting to be adopted. They already exist in this world. Bringing an animal home is compatible with veganism and reduction is harm.