The earliest and cheapest we will get new nuclear at low-gigawatt scale, according to the people building it, is in 10 years at which time if everything goes right the cost will have fallen to $65/MWh. Today we can deploy on-shore wind and solar at ~$30/MWh, and generate hydrogen with surplus per the article. Here is a thread citing nuclear industry advocates for building new nuclear power on the state of the efforts:

[$65/MWh, end of thread] https://twitter.com/sampenrose/status/1224019148562321408 [start, focusing on China's nuclear buildout] https://twitter.com/sampenrose/status/1162772916125126656