They have worked to build transports capable of crossing the Taiwan Straits. What is it? 90 Miles? You don’t need a bluewater navy for that. They have missiles capable of obliterating Taiwan, and their version of Exocet “ship killer” missiles that can sink a Carrier. It wouldn’t take much to invade Taiwan and once there it would be difficult to dislodge them.
So I imagine they make it to Taiwan and they resupply how? Their ships are gone every time they launch.