You don't risk nuclear war by shooting a few conventional missiles and establishing a blockade.

(A) China would suffer intensely under a blockade.

(B) A few missiles could ensure chip facilities are surrendered intact.

(C) Even a short conflict where a few missiles hits boats invading Taiwan would ensure the rest of the world never trades with China.

Point being: The US doesn't have to win, don't have to fight with everything, just make the invasion hard and isolate China in a new cold war.