Vogtle ended up at roughly $13,000/kW. On shore wind globally is averaging roughly $1,300/kW. Grid-scale batteries are running roughly $3,000/kW, then add in for how much ride-through you expect to need.
Depending on local conditions, you can build out 10x as much wind capacity as you need, or various combinations of wind + solar+ batteries and still end up less expensive and with a faster deployment time than nuclear.
^ The show as described up there sounds terrific. The one I watched was Days of Our Lives in Space. I couldn’t stick with it.