What is the prognosis for my puppy with neurological distemper? ?

Hello! I adopted a puppy 3 weeks ago from a local animal shelter. She was a stray before, and she received her first set of vaccinations at the shelter. She is estimated to be 4 months old, and she is suspected to be a lab/pitbull mix. She had conjunctivitis when I adopted her, and she came down with a cough about a week later. She had a really bad cough and runny (green discharge) nose, lethargy, difficulty breathing, and she didn't seem to want to eat for a little over a week, but she showed huge improvement. The doctor said that she might have distemper, but she seemed to be largely getting better. Then, she began to have chewing gum fits. I have read extensively about canine distemper, and I know that the prognosis for neurological distemper is poor. Currently, my puppy is eating normally, playing, and just being a puppy aside from 2-5 30 second "gum chewing fits" per day over the last 3 days. I'm just looking for a little more information on what to expect as the disease progresses and whether or not I should hope for recovery. Thanks for any help or insight you can give. It's greatly appreciated!