Forget about who has what kit and who's missile can sink what ship and make Britain and Argentina should make an agreement about how this huge amount of resources is going to be extracted and how both countries can benefit.
To successfully and efficiently extract a considerable amount of oil and other natural resources in this remote area, both sides need to work together and share the $4 trillion bounty that is estimated to exist.
Then maybe the Argentinian Polo ponies will still be available for our Royal Family to use when they jet over to eat steak and drink Argentinian wine!