Paper the flat (3)

I believe the answer is:

pad

I believe this clue is a double definition.

'paper' is the first definition.
(pad is a kind of paper)

'the flat' is the second definition.
(person's home)

(Other definitions for pad that I've seen before include "Jotter; compress" , "Protective guard; home" , "Sheets of paper fastened together along one edge" , "Sports guard; home (colloq.)" , "Helicopter stand" .)

I've seen this clue in the Evening Standard.

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