For example, the coup in Bolivia: https://www.aa.com.tr/en/americas/was-coup-against-evo-moral...
China might win the first battles with that rocket barrage, but it will also firmly cut itself off from world trade - ores, food, gas, oil. There's no winning move.
There are large-scale dysgenic Demographic changes occurring in the West: https://www.nbcnews.com/think/opinion/iq-rates-are-dropping-...
China needs merely wait a few generations (if it has the patience) and it will have a much easier time asserting itself. Alternatively, to just buy off Western politicians (as it is already doing) - which beats rockets for cost efficiency.