The photo I think is taken form the Town Walls next to Mount Pleasant Car Park. If you cut through the pedestrian access in the way from the car park you come out at the back of Bangor Rd.
I think this is the view of the bak of one of the Businesses opposite the Archways Fish and Chip Shop.
From your clue I was tempted to say Antony Flint Estate Agents, but I thought they were on the corner direct opposite The Albion. But I'm confused by the term "branch" as I'm not sure the other businesses have branchs.
Is it the Fair Trade Shop, or in fact Antony Flint