My cat eats but no solid poop, still vomits, won't eat baby food.

Hi there!
I'm glad to see that Artemis is doing a little bit better. You may not see feces in the litter box for a few days after she starts to eat again, so I wouldn't be too worried about that. I'd watch her when she goes to the bathroom and look for any straining or discomfort, that may indicate that maybe she does have diarrhea, or even constipation.
I usually will encourage owners to try a variety of foods for a cat that isn't eating. As long as there isn't a specific reason your veterinarian recommends baby food only, I would try brands like weruva (especially the seafood bits - for some reason I see cats that refuse just about everything eat that), and tiki cat. They are usually very palatable.
The only thing you can really do is keep trying different foods. If your veterinarian hasn't prescribed anything yet, there are a few medications for cats that can help with appetite stimulation.
Sometimes too, if it's a multiple cat household, if the ill cat isn't that attached to the other cats, and essentially just coexists, I recommend giving the ill cat some time for itself. Maybe set him up in his own area where he has his own litter box, and maybe a feliway diffuser, some rescue remedy, and/or catnip. Offer him fresh portions of a variety of foods a few times a day. Maybe that will help.
From what it sounds like you're doing a great job. A cat that stops eating is always a very difficult patient, so kudos to you!
I hope you find this answer helpful!
Best of luck!