After solving the puzzle in the bakery, and possibly a bit before, Imbir should roam the streets of Raven Brooks. Hopping into bushes, playing with leaves, laying in windows. etc.
Now if you're worried about the fountain puzzle, I have a solution. If you try to go over to the fountain and use the camera, Imbir will jump out of a bush with leaves in it and cover the gnome camera until you feed them.
You can try to pet them as they go around of course, they will only allow it if you've fed them treats at the fountain and bakery as by that point they will fully trust you.

