That's overnight cost, not included in model.energy. You also have to add in the financing cost during construction.
If we are talking about Korean export NPPs, the Barakh NPP has four reactors for a total of 24.4B$, producing 5.6GW(e). THis is about $4B/GW. If I plug in 4000 per MW (its euros, not $, but they're not too different right now) for the capital cost of nuclear in model.energy, increase the NPP lifetime to 40 years, and use US 2011 weather data, nuclear optimizes to zero.
I'll add that model.energy is looking at the best case for nuclear: providing baseload. Handling variability will incentivize storage, which means renewables will be at an increased advantage. Dispatchable demand of any kind, even slightly dispatchable (allowed to be off 10% of the time, say) also tilts the game toward renewables.
The 25 year lifespan for nuclear there may reflect economic obsolescence rather than technical lifespan. Energy technology is evolving quickly now, so investors may simply refuse to credit the promise of such long lifespans. Even in the US, there have been existing NPPs that shut down because they could not recoup their operating costs (granted, much of that was due to gas and also renewable subsidies, but with solar having dropped in cost by nearly an order of magnitude in the last decade it's a bold move to assume it won't keep falling.)