

If you dont understand the difference between trying to start by winning a mayoralty of a town of 10,000 people then some state legislature seat and trying to win the president of the USA without an existing power base I dont know what to tell you. I cant break that down to being any simpler for you as to why starting with the later before you’ve managed the former is pointless.
No, they dont
As is confirmed in your first link, the USA acknowledges that the Chinese position is that Taiwan is a part of China, and recognise that the PRC is the government of China, they deliberately do not say if they consider Taiwan a part of China or not.