About the South Atlantic Islands: they were uninhabited until English and French settlements were established after 1750. I think both sides claimed sovereignty for their respective countries. France ceded its claim to sovereignty to Spain in 1771.
The British withdrew, followed by the Spanish in 1811. In 1816 Argentina claimed the islands, although uninhabited. German born Luis Vernet was given the right to exploit the islands. A settlement was established, Vernet was appointed commander of the islands in 1829. In a dispute over access to sealing and whaling in 1831 the US sent warship USS Lexington to the islands. The captain of the warship declared the dissolution of the government. In 1832 the garrison set up by Argentina mutinied. In 1833 the British took over the islands.
In the 1970's the British were negotiating transfer of sovereignty to Argentina. However the British would need to persuade the islands' inhabitants to accept the transfer. In 1976 a military coup overthrew the government in Argentina. The chances of the people living on the South Atlantic Islands (their geographical description) approving their political transfer to an Argentina now run by a murderous military dictatorship dropped from almost nothing to nothing.
In 1982 the Argentinian junta invaded the islands. Argentina continues to claim sovereignty over the islands. To prevent any future repetition of the 1982 invasion Britain is not prepared to allow any British content of any military system to be sold directly or indirectly to Argentina.
So, forget Argentina getting Tejas as is. In any event HAL could not supply Argentina without reducing supply to IAF, so what would be the point of supplying Argentina?