|"Are you a wizard or not?"
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This cupboard was located somewhere within Hogwarts Castle, presumably in the Headmaster's Office. A portrait of the current Head of the school was kept within this cupboard after its traditional commission by the headmaster in question. Only the current headmaster had access to this cupboard, and many visited it regularly to teach their portrait to behave exactly like themselves, as well as to pass on bits of knowledge they deemed useful to their eventual successors. After the headmaster in question leaves office, their portrait is moved from this cupboard to join the rest of the portraits in the headmaster's office.