I wouldn't say that 'The Salted Chicken' is a 'run-down shack' because it's really not. It's a cobblestone brick building with wooden walls, floors, and tables on the inside. Its only distinction is that the prices are cheaper and the business is run by a family. Though, conditions on the inside aren't at their prime and aren't perfect, they're decent.

Edit: It'd also be a little more efficient to describe the process of walking to said business and why. I don't remember reading about Dameon arriving.