Hello Lyn, I think it was no. 366.
A license transfer to a J Short for the Bank Tavern is mentioned in the newspaper in 1890 and he appears to be listed aa a licensed victualler at no. 366 New John St West though no pub name is listed on the 1891 census. This does however tie in with the numbers listed on the 1954 map by which time it appears to have split into three - 366, 366A and 366B.