Have we liked this pup to anyone yet? I'm trying to keep up with all the information but I might be making a mistake here.
My guess is that unless I'm missing something this is raires pup,
first off their hints suggest that the dog is something between very rare and very common, as well as neither being mythical nor a pest.
The way I interpret this pup is that it's eye is a gem, but the patches on its skin could be a disease. Gems are very rare, but disease is oftentimes common. While a gem is oftentimes associated with mythical powers, disease is... well a pest. A combination of those two would be something new, so it's neither of them directly.
The third clue says that many love them, almost everybody hates them, but most stare at them in awe. This would fit with my theory above as most people love gems, almost everyone hates sickness but a combination of those two? That would definitley inflict awe on me.
Now to the answered questions, Raire stated that their dog has purple eyes which would fit here. They also said that the pups zodiac would be aquarius. Aquarius birthstone is Amethyst which would fit the purple stone the pup has for eyes. It was also stated that the pup has a red aura, which kinda reminds me of the glow effects we can see on it? They at least seem reddish or purpleish to me.
Lastly, just a minor detail, but Raise has colored every one of their CS tags in their last staff dogs, oftentimes in a gradiant showing both the sets colors, again this would fit perfectly here.
Okay I probably missed some information here, but I had lots of fun coming up with my theory ^^