Crossword Genius

Italian city in country — one in good area (7)

Ross

I believe the answer is:

perugia

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'italian city' is the definition.
'perugia' can be an answer for 'city' (I have seen 'Umbrian city ' mean 'perugia' so perhaps 'city' could also mean 'perugia'). I am unsure of the 'italian' bit.

'country one in good area' is the wordplay.
'country' becomes 'peru' (Peru is an example).
'one' becomes 'i' (Roman numeral).
'in' indicates putting letters inside.
'good' becomes 'g' (abbreviation).
'area' becomes 'a' (maths abbreviation).
'g'+'a'='ga'
'i' inserted into 'ga' is 'gia'.
'peru'+'gia'='PERUGIA'

'in' is the link.

Can you help me to learn more?

(Other definitions for perugia that I've seen before include "Umbrian city" , "Continental city" , "Italian town" , "Italian city, north of Rome" , "Italian city, capital of Umbria" .)

I've seen this clue in The Times.
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