Crossword Genius

Part of palace, say, with berth facing west (9)

Ross

I believe the answer is:

stateroom

'part of palace' is the definition.
(I've seen this before)

'say with berth facing west' is the wordplay.
'say' becomes 'state' (synonyms).
'with' says to put letters next to each other.
'berth' becomes 'moor' (synonyms).
'facing west' says the letters should be written backwards (letters written east to west or right to left).
'moor' reversed gives 'room'.
'state'+'room'='STATEROOM'

(Other definitions for stateroom that I've seen before include "part of palace" , "Luxury cabin on a liner" , "luxurious cabin" , "Passengers's private compartment on ship" , "Place fit for a 27 [PRINCE]" .)

I've seen this clue in The Times.
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