Really, only in the sense that this source pushes out the aggregate supply curve, delaying the point in time when prices get higher.
Practically, once prices become 3x of current, that's what everyone will pay on average, it just means (in this thought experiment) that some miner sourcing from America is marginally profitable, while some miner from South America is very profitable.
Did the existence of shale oil or tar sands delay crude breaking $80/barrel? More expensively exploited resources typically aren't exploited until their market price makes such exploitation profitable. We've known about the vast amounts of oil under the Bakken Formation since the 1950s, for example.
If this stuff is more expensive than Bolivian lithium, we won't do more than tinker with it until it's not, and consequently I wouldn't expect it to have much impact on the price curve — we'll all still be buying the same stuff until then.
Practically, once prices become 3x of current, that's what everyone will pay on average, it just means (in this thought experiment) that some miner sourcing from America is marginally profitable, while some miner from South America is very profitable.