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You could take it to Customs at Christchurch. They told me I could take mine to Wellington Customs. I just post mine to Auckland when they ask for them.

Especially when its an offence to import restricted parts without a permit, technically the Police could prosecute you if you ask for one after you have ordered them.

I think it says they will issue permits for "parts of the action" which is barrels, bolts, BCG, Upper and maybe lower receivers, and LPK for the AR and they don't have to issue them for the other...