Crossword Genius

Relative, Italian, with a dessert of hers (7)

Ross

I believe the answer is:

granita

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'relative italian with a dessert of hers' is the definition.
I know that 'italian' relates to this answer.

'relative italian with a' is the wordplay.
'relative' becomes 'gran' (short for grandmother).
'italian' becomes 'it' (abbreviation for Italian).
'with' says to put letters next to each other.
'gran'+'it'+'a'='GRANITA'

Can you help me to learn more?

(Other definitions for granita that I've seen before include "final course perhaps" , "icy water" , "cold drink" , "rough ice" , "Italian water ice" .)

I've seen this clue in The Times.
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