China does not need to invade Taiwan. China just needs to destroy Taiwans infrastructure and industry and bring then to their economic knees.. that is when Taiwan will need to surrender. China will make the conflict last for years, and have the west lose interest, while it progressively degrades Taiwans capabilities. Taiwan does not have the economic might to sustain a sustained war with China....
China will not engage the USA unless USA forces itself into the fight. The Chinese will wait for the Americans to make the move on that.
Technology has moved on a lot in the last decade, and the "current" modern value of an aircraft carrier is highly suspect. Any conflict that takes place, will validate if aircraft carriers have a future or not, any more.. will they have value or go the way of the dreadnoughts?
This thread is about China invading and capturing Taiwan in 7 days and hitting 3 US carriers to boot!
Therefore we need to bring full US might into the chances of Chinese success at an invasion and run with this scenario.
ASBM - Let China even carry out a single exercise on a moving target out in the open ocean and then we can start taking them more seriously.
In real life, Chinese will have no accurate idea of where the US carriers are and they will be protected by ABMs, decoys and evasive manoeuvres. Chinese submarine and surveillance aircraft cannot get close enough to US fleet due to US defending assets(SSNs and fighters) that are superior to what China can muster.
We cannot really count them as major factors as there are so many unknowns and lots of ways to protect carriers against them.