Port in Magallanes, Chile, on the Brunswick Peninsula (5,6)

I believe the answer is:

punta arenas

(Other definitions for punta arenas that I've seen before include "Seaport at the foot of Chile" , "Most southerly city of mainland Patagonia" , "City of southernmost Chile" , "City at the southern tip of Chile" .)

I've seen this clue in The Mirror.

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