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So OTL during the Falklands conflict Chile was very much on the British side, they provided British with info about Argentine troop movements and assisted in other ways, they also had the ongoing Beagle dispute with Argentina. They were close enough to joining the war that Argentine held back a few mountain divisions from the Falklands as back up. So what would be the results of the following happens: Argentina occupies the Falklands as OTL but (POD) Britain actually declares war on them instead of just making it a Conflict zone, and Chile follows with a declaration of war the next day?

How much longer will the war last?

Could Chile receive Tierra del Fuego in the peace treaty?

Would a longer harder war lead to Argentina officially renouncing its claim to the islands?

This of course assumes Argentina loses, while they have no chance of holding the islands might a land war against Chile galvanize the Argentine public into action?
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