My state (NSW, Australia) for example uses no less then 6 GW at all times of day. Variable load is on top of that during the day.
If we had 6GW of nuclear plants, our grid would be almost completely green and they'd run at 100% utilization.
You’ll end up at $400 per MWh excluding transmissions costs, taxes etc.
Your state already has coal plants forced to become peakers or be decommissioned because no one wants their expensive electricity during the daytime. Let alone a horrifyingly expensive new built nuclear plant.
https://www.abc.net.au/news/2024-10-13/australian-coal-plant...