The name of the inn is a reference to the cancelled Baldur's Gate III: The Black Hound. The stained glass window near the door is a close crop of the original box art for the game by artist Vance Kovacs.
This area contains developer commentary.
There's a couple of jokes in here about the inns previous owner having disappeared you might note, and that grew out of our never hearing back from the inn backer - it's all meant in good fun of course.
I had a little poster in my office of the old promo art for Baldur's Gate III, and while we were thinking of names for this place, I started using "The Black Hound" as a placeholder, thinking that it wouldn't stick. It ended up getting thumbs up, and Josh Sawyer asked art to implement the poster image as a stained glass window on the lower floor. The dog upstairs actually came later. Once we started assigning locations to the various pets, the placement for the black dog seemed fairly obvious.