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As Cameron Rose's NewsBlog says: "The proposals to upgrade the Archers [link added] Hall site including the provision of 15 flats for student accommodation will be considered by the [City of Edinburgh Council] Planning Committee this Wednesday (1.4.09)".
See the NewsBlog for details and links to the relevant documents.
update, 9 April @21:30 (after request): relevant docs are at http://citydev-portal.edinburgh.gov.uk/portal/submissions.do?action=ViewPublicCaseDetails&applicationRef=08/03150/FUL