Smoke and mirrors

So we're sitting there watching The ABC Murders when I said to Jan, 'bloody hell you know that place.'
At my age it is sometimes difficult to correctly name something quickly, if at all.
Anyway, Poirot has to visit Bexhill and he exits the railway station. The building he exits is just down the road from us. A building that Jan visits every week and had Bexhill Station plastered on its front.
Further investigation came up with this site.