Anything in New York inclined to offend (7)

I believe the answer is:

naughty

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'inclined to offend' is the definition.
I can't tell whether this defines the answer.

'anything in new york' is the wordplay.
'anything' becomes 'aught' (I've seen this in another clue).
'in' means one lot of letters goes inside another.
'new york' becomes 'ny'.
'aught' put inside 'ny' is 'NAUGHTY'.

Can you help me to learn more?

(Other definitions for naughty that I've seen before include "Badly behaved, mischievous" , "Badly-behaved" , "wayward" , "mildly indecent" , "titillating" .)

I've seen this clue in The Guardian.

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