Crossword Genius

Ousted duke’s son accepted in genteel circle (8)

Ross

I believe the answer is:

prospero

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'ousted duke's son accepted in genteel circle' is the definition.
I can't tell whether this definition defines the answer.

'son accepted in genteel circle' is the wordplay.
'son' becomes 's' (genealogical abbreviation for son).
'accepted in' means one lot of letters goes inside another (I've seen this in other clues).
'genteel' becomes 'proper' (I've seen this in another clue).
'circle' becomes 'O' (O is a circle).
's' inserted inside 'proper' is 'prosper'.
'prosper'+'o'='PROSPERO'

Can you help me to learn more?

(Other definitions for prospero that I've seen before include "Usurped Duke of Milan (The Tempest)" , "Magician in the 5" , "Sorcerer of The Tempest" , "The rightful Duke of Milan in The Tempest" , "Role in The Tempest" .)

I've seen this clue in The Times.
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