It appears before I wrote this, the South Korean military had already approved a 40,000 ton carrier for 2030. I guess I was right in that there was no way they would go for the 80,000 ton option, and the 40,000 ton was more feasible. The carrier will have two islands and be similarly sized to the Queen Elizabeth class, but unlike the Queen Elizabeth class, it will not have a ski ramp. However it will similarly use F35-Bs which will run off the flat carrier deck.
Unlike South Korea's current largest warship, the Dokdo class, it will not have a well-deck. In this sense the carrier will be cousins of the similarly sized Queen Elizabeth class (two islands) and America class (no ski ramp).
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They are trying to indigenize as much as possible. South Korean shipbuilders will be more than able to build the hull. However they would have to rely on technology transfer for a lot of other items. I was wondering if they would take a leaf out of China's playbook and try to incorporate a catapult like with the Type 076. However that would probably be too much to handle right now for South Korean shipbuilders and Hyundai and they would have to leave it for the next generation, decades from now.