Eugenie's part in Aladdin (5)

I believe the answer is:

genie

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'aladdin' is the definition.
The answer and definition can be both people as well as being singular nouns.
Maybe they are linked in a way I don't understand?

'eugenie's part in' is the wordplay.
'in' says the answer is hidden in the clue.
'GENIE' is hidden in the letters of 'eugenies part'.

Can you help me to learn more?

(Other definitions for genie that I've seen before include "One in Aladdin's lamp" , "Magic spirit" , "Magical Eastern spirit with strange powers" , "Goblin as found in Aladdin's lamp" , "means of wishfulfilment" .)

I've seen this clue in the Evening Standard.

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