What they charge customers in France is also controlled by the government (and not the same thing). The difference is simply made up by tax payer money. Of course being connected to the rest of the European market and also having a lot of their own renewables, this just means that bill is getting larger and larger for the French government whenever there is a surplus of wind and solar. Which is probably happening quite often now.
Here are some details on a deal the French government struck with nuclear operator EDF recently: https://www.clearygottlieb.com/news-and-insights/publication...
It's indeed a great example why commercial nuclear plants without extensive state support is not really a thing. Most places that have nuclear plants, also feature heavy government involvement and state funding. That plant that Bill Gates is involved with that recently started construction work, only still exists because of extensive state involvement.