2.160 GW is it's rated capacity. I'm not sure how you got from there to 14.2 dollars per watt, but it completely ignores the lifetime of the power plant.

Vogtle 3&4 are really a bad example because unit 4 only entered commercial activity this year. But fine, we can look at what it produces just recently.. About 3335000 MWh per month, or about 107 GWh per day. We can then subtract the baseline from Reactor 1 & 2 from before Reactor 3 was opened, removing about 1700000 MWh per month. Which gives us about 53 GWh per day. The lifetime of them is expected to be around 60 to 80 year, but lets take 60. That's about 1177200 GWh over it's lifetime, divided by the 36 billion that it cost to built... Gives you about 0.03 dollars per kWh. Which is pretty much as good as renewables get as well. But of course, this ignores maintenance, but that's hard to calculate for solar panels as well. As such it will be somewhat larger than 0.03, I will admit.

Solar panels on the other hand, often have a lifetime of 30 years, so even though it costs less per watt, MW, or GW, it also produces less over time. For solar, and wind, that's about the same.. So this doesn't really say much.

But that wasn't even the point of my message. As I said, I agree that Nuclear is slightly more expensive than renewables. But there are other costs associated with renewables that aren't expressed well in monetary value for their units alone. Infrastructure, space, approval, experts to maintain it.

Let’s ignore that no grid in the country actually needs 10hr storage yet.

Because they cannot. They can't do it because there's not enough capacity. If the sun is cloudy for a day, and the wind doesn't run. Who's going to power the grid for a day? That's right. Mostly coal and gas. That's the point. Nuclear is there to ensure we don't go back to fossils when we want to be carbon neutral, which means no output. If you are carbon neutral only when the weather is perfect for renewables, then you're not really carbon neutral and still would have to produce a ton of pollution at times.

I'm glad batteries and all are getting cheaper. They are definitely needed, also for nuclear. But you must also be aware of just how damn dirty they are to produce. The minerals required produce them are rare, and expensive. Wind power also kills people that need to maintain it. Things aren't so black and white.

Also consider that PV and batteries have always gotten cheaper over time, while nuclear has always gotten more expensive.

This is not true, and it should be obvious when you think about it. Since this data fluctuates all the time. Nuclear has been more expensive in the past, before getting cheaper, and now getting more expensive again. Solar and wind have had peaks of being far more expensive than before. These numbers are just a representation of aggregate data, and they often leave out nuance like renewables being favored by regulations and subsidies. They are in part a manifestation of the resistance to nuclear. Unlike renewables, there are many more steps to be made for efficiency in nuclear. Most development has (justifiably) been focused on safety so far, as with solar and wind and batteries we can look away from the slave labor on the other side of the world to produce the rare earth metals needed for it. There is no free lunch in this world.

For what it's purpose should be, which is to provide a baseline production of electricity when renewables are not as effective. A higher price can be justified. It's not meant to replace renewables altogether. Because if renewables can't produce clean energy, their price might as well be infinitely high in that moment, which leaves our only options to be fossil fuels, hydro, batteries, or nuclear. Fossil fuels should be obvious, not everyone has hydro (let alone enough), batteries don't have the capacity or numbers at the scale required (for the foreseeable future), and nuclear is here right now.