Note a new Judge in Government in Chinese city (7)

I believe the answer is:

nanjing

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'chinese city' is the definition.
'Nanjing' can be an answer for 'city' (Nanjing is an example). I'm not certain of the 'chinese' bit.

'note a new judge in government' is the wordplay.
'note' becomes 'n' (abbreviation).
'new' becomes 'n' (common abbreviation eg NT for New Testament).
'judge' becomes 'J' (abbreviation for judge).
'government' becomes 'g' (abbreviation for government).
'n'+'a'+'n'+'j'+'in'+'g'='NANJING'

'in' acts as a link.

Can you help me to learn more?

I've seen this clue in The Independent.

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