The title of this photo is . . .
"Clergy Jubilee Schools Carliol Square Newcastle upon Tyne - 1968. A view of the exterior of the Clergy Jubilee Schools Carliol Square Newcastle upon Tyne taken in 1968"
So, it is the right building, that became the 'Downbeat Club' for a while in the 1960s. It doesn't look too much like a nightclub in this 1968 photo, especially as the 1960s is when it definitely was in use as the Downbeat Club and/or Downbeat Jazz Club.
It may well have closed by 1968 though (and perhaps closed for some time) as most of the references I have to the club, seem to be about the very early 1960s.