Don’t know about tungston—but the USA has plenty of rare earths. They’re just a bit more expensive than Chinese rare earths. For example, A big research effort is underway to extract rare earths from coal mine wastes.
All the deposits worth mining were locked up in the 90s. They are too expensive to mine for what competitors can get more cheaply from China. Research ... don’t depend on it to solve the problem in any reasonable time or for any process to work commercially and efficiently for decades. US major deposits of rare earths need to be unlocked and large scale mining restarted.
Tungsten - US has almost zero. Russia exports all the metal for the rounds used by US mil’s small arms. Another wacko environmental issue - no lead and maybe shortly no depleted uranium rounds.