[The PLAN doesnt need carriers to take Taiwan. Taiwan is in range of land-based aviation from the mainland. What they do need are helicopter-equipped amphibs and lots of them because there arent many beaches suitable for landing large contingents of troops.
Carriers have their uses, but for China taking Taiwan doesnt require them.]
A blockade wouldn’t work when submarines start picking off the blockading vessels. China would have to take Taiwan by storm. A sudden thrust. Anything less than that invites intervention.