Unless you are fine pairing solar panels with natural gas as we currently do

Yes, I am, especially since you seem to be intentionally ignoring wind+solar. It’s much cheaper to have a system that is solar+wind+nat gas, and that particular system can handle all the peaking and base needs today, cheaper than nuclear can. So nuclear is more expensive today than that type of combined generation.

In 10 years, when a new nuclear plant designed today might come on line, we’ll probably have enough grid scale storage and demand-shifting technology that we can easily make it through the typical 24-hour cycle, including 10-14 hours of night in most places depending on time of year. Based on the progress we’ve seen between 2019 and 2024, and the projects currently being designed and constructed today, we can expect grid scale storage to plummet in price and dramatically increase in capacity (both in terms of real-time power capacity measured in watts and in terms of total energy storage capacity measured in watt-hours).

In 20 years, we might have sufficient advanced geothermal to where we can have dispatchable carbon-free electricity, plus sufficient large-scale storage and transmission that we’d have the capacity to power entire states even when the weather is bad for solar/wind in that particular place, through overcapacity from elsewhere.

In 30 years, we might have fusion.

With that in mind, are you ready to sign an 80-year mortgage locking in today’s nuclear prices? The economics just don’t work out.