Crossword Genius

Map with royal residence and public school (12)

Ross

I believe the answer is:

charterhouse

I'm a little stuck... Click here to teach me more about this clue!

'public school' is the definition.
(I've seen this before)

'map with royal residence' is the wordplay.
'map' becomes 'chart' (chart is a kind of map).
'with royal' becomes 'er' (I've seen this in other clues. I am not sure about the 'with' bit.**).
'residence' becomes 'house' (I've seen this before).
'chart'+'er'+'house'='CHARTERHOUSE'

'and' acts as a link.

Can you help me to learn more?

(Other definitions for charterhouse that I've seen before include "Monastery - public school" , "The - of Parma, novel by Stendhal" .)

I've seen this clue in The Times.
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