They're going to see another vet soon, they're still not getting better, and frankly, I don't trust this vet. Sure, he can be nice, but he also knows little to nothing about budgies. He just has this book of pets and meds for hem, and he looked up budgies in the book and just gave them the first thing he saw. The book was made sometime in the mid 20th century, so I don't even know how credible it is.
They have a humidifier for now and that's helping them breathe better. They're still getting Clavamox, even though I know it can be a hit-or-miss for parrots.