That is if you're lucky enough the US won't intervene. If the US opted out Taiwan will fall off course.They went away before we went in, US officially declared they did it for avoiding potential accidents with the Chnese military.
But as Biden already said earlier. America will intervene militarily if Taiwan is to be invaded.
So once US carriers are in, and Joined the fight in Taiwan there won't be any PLAAF jets that could penetrate its defense rings. Not within the acceptable losses the PLA would sacrifice.
If you can't kill the carriers your blockade are nullified. And without any effective blockade. There will be no conquest of Taiwan.