I highly doubt this KUN-24 has anything to do with PLAN CVN that may be currently under design or planned to be built within the next 10 years.
From the only detail about this ship I can find, such as this link
The power plant is supposed to be a 4th gen high temperature thorium reactor with 15-20 years refueling circle. The only two ongoing such reactors in China are demo reactors in Gansu, one is a 10MWt solid state fuel, the other is 2MWt liquid fuel. The latest news is that the 2MWt has been operating since 2022, two years of running. Neither these two are big engough for practical power plant. Scaling up them to practical power plant will take some years.
It will take quite time before this KUN-24 to be in the water. And it will be the first in operation. PLAN is only going to use such new reactor after it has been verified on civilian ships or on land. So if PLAN is serious about having a CVN in the coming 10 years, it will be likely a 3rd gen PWR which has already been operational for years.