It's hard to make a reliable cost prediction comparing nuclear vs. wind/solar + batteries since we don't know how to build nuclear any more.
Vogtle 3/4 are going to cost maybe $40 billion when all's said and done? With OpEx, you get to something like $0.18/kwh. That's more than 5x the cost of unsubsidized wind or solar installations which would buy you a bunch of storage.
So we still have to pay for dispatchable generation if we want to have power on a calm cloudy day week. We can add that cost to the cost of the storage and overbuilding of capacity that allows solar or wind to deliver rated power overnight. Or live with blackouts
Which is over 50% of the cost of running a combined cycle plant (page 12: https://www.lazard.com/media/sptlfats/lazards-levelized-cost...) -- but also misses that you'd need far fewer plants if you build renewable + storage generation to match the 99% use case so the total cost spend on peakers would drop dramatically even if some were still needed to provide backup generation.
Also has the added benefit of almost entirely decarbonizing power generation.