If I hadn't seen Pevsner's comment that the painted brick front is early C19th ("gables perhaps C17"), I would have dated it a little later.
At the time a branch of William Hill.
Newcastle's 'new' co-op was built on Newgate Street in 1932. Although 'art decor' in style, it gave more than a nod to Egypt where Howard Carter's discovery of Tutankhamun's tomb had just taken place. See http://www.timmonet.co.uk/html/newcastle_co-op.htm