Spoilt child claims Chad's inside India (6)

I believe the answer is:

bharat

'india' is the definition.
(synonyms)

'spoilt child claims chad's inside' is the wordplay.
'spoilt child' becomes 'brat' (I've seen this before).
'claims' means one lot of letters goes inside another.
'inside' says to take the centre.
The middle letters of 'chad' are 'ha'.
'brat' placed around 'ha' is 'BHARAT'.

(Another definition for bharat that I've seen is " Hindi name for India".)

I've seen this clue in The Independent.

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