I don't know if this is relevant. It is a JNCX shipyard recruitment for technical personnels for military ships dated way back in 2015, for 2016 graduates. I believe this was the start of a program for nuclear powered surface ships, most likely a nucleared powered aircraft carrier and other combat ships.
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I was aware of this recruitment requirements for nuclear power talents. But this one might not indicate an immediate start of a nuclear-powered carrier - this was in 2015 before even 003 had started construction. It could be just JNCX had started to develop a labor and skill base for nuclear-powered ships including carriers, which would take a long lead time.
That said, that Dalia builds another conventional CATOBAR carrier a la 003 and JNCX goes on to build the first nuclear-powered carrier after 003 are not mutually exclusive. They would make beautiful sense.