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Somewhere like Waxy O'Connors in Soho (I know they have got a tree inside, but can't remember whether there is an owl sculpted into it)?

Quite right, of course - comes of trying this game on my phone rather than on a proper screen (plus a bit of dyslexia - one is at Number 153, the other at 135).

I think it is (or rather was) the Pavilion.