The PLAN is growing fast. Its size has tripled in the last 20 years, and right now it has more warships than the USN. The average size is smaller, but the goal is 400 ships by 2025. Having a big commercial shipbuilding industry helps. The US no longer has much of one; China has a large one.
China's third aircraft carrier is under construction. The first carrier was a refurbished Russian one. The second one was an improved version of that. The third one is comparable in size to a US carrier but without nuclear power. The next generation may have nuclear power. That's expected later in this decade.
China has a substantial truck-mounted land-based missile capability for sinking ships in areas offshore of China. This is a serious threat to USN carrier groups.
Building a navy that can project power that far is no task that can be done quickly.
This seems like the sane approach for China.
How long will it take China to build its navy to the point it can defeat the US fleet?
What are the chances that a provocation by either side will lead to confrontation before this point?
Will the US and its allies attempt to make war before China takes the lead?