Please ask if they treat chocolate labs.

He’s busy waiting on back porch for the mothership

Cats get dementia and can forget where their litter box is, among other things.

What is the problem with your kitty?

To answer your question, not that I know of. Veterinary hospitals are used to help a cat recover from ill health, injury, surgery, etc.
Is there something about the cat's mental health that can be addressed in that kind of setting? Like finding the right med dosage?

Cats do get dementia. She is 96 in human years.

.... if the cat is a Republican is there any way to dissuade her from voting.

...listing the choice of Clinton or Reagan.
Today's GOP won't think twice or even know the difference.

Not pooping in her food, but dementia is probable.
She's a good gal and I'm amazed that she gets around as well as she does.
Her one big joy is eating, she eats a lot but stays quite bony.

I had a cat with kidney disease who rebelled against getting fluids. He eventually went blind and started bumping into walls, etc., even though he knew the apartment. At that point, we decided the kindest thing was to euthanize him. The vet agreed.

Luckily it didn't get to the point where she stopped using the litter box, or anything truly terrible.

At the time she was an indoor-outdoor cat, which I don't do anymore. She'd be outside at night and go into the middle of a somewhat busy intersection half a block away and stand in the middle of it. A couple of times someone brought her home to us. Because she was used to going outside, it was very difficult to keep her in, meaning keep her from slipping out an open door. But we did do that successfully the last few months of her life.

One humorous aspect of her dementia is that if an ice cube fell on the floor, she was completely entranced watching it melt.