SK53
The Place consists of a number of discrete buildings. The building in Duke St has 20th Middlesex Artists RV on the facade. I presume the long building behind is the drill hall. Then facing Flaxman Terrace is a new building containing dance studios. The other longer building on Flaxman Terrace was advertised as office space in April 2014 (see http://www.geograph.org.uk/photo/4207383) so probably is not part of The Place. The buildings & the performance space (i.e., the theatre but) need to be separated from the overall institution which houses performance spaces, dance companies, a teaching institution (London School of Contemporary Dance) etc. I've added untagged ways showing division of some of the buildings: there may be further light wells in the complex.