So what is the current state of affairs with nuclear on CO2 neutrality? Last I heard, in its life time it is not CO2 neutral due to mining and storing the fuel. Are these solved problems?
Almost nothing human technology does is "CO2 Neutral".
The question isn't CO2 neutrality, but "How much worse is the alternative". And when the alternative is to burn Coal, Oil and Gas, Nuclear power wins by a landslide.
Secondly:
Fossil Fuels have to be mined, transported and stored as well. The components of Wind and Solar energy farms have to be constructed from resources which have to be mined and processed. Power plants, be they coal, nuclear, solar, whatever, need to be constructed and maintained.
It really is all relative, it can essentially be carbon negative in a sense if you use coal as a baseline for damage and ability to reverse global warming.
Consider this: Hambacher Forst and return to brown coal in Germany is a direct effect of moving away from nuclear. That would be a great background to the total CO2 math.