In the centre of Peru, find where we live (4)

I believe the answer is:

erin

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'where we live' is the definition.
The definition suggests a singular noun which matches the answer.

'in the centre of peru find' is the wordplay.
'the centre of' says to take the centre.
'find' indicates an anagram.
The middle of 'peru' is 'er'.
'in'+'er'='iner'
'iner' with letters rearranged gives 'ERIN'.

Can you help me to learn more?

(Other definitions for erin that I've seen before include "Another name for 11 ac" , "country" , "Romantic, archaic name for Ireland" , "Poetically, Ireland" , "(Literary name for) Ireland" .)

I've seen this clue in The Irish Times.

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