China is currently the leader in deployment of nuclear power, but even there wind power overtook it in terms of GWh delivered in 2013 and the difference was been widening ever since.
Similarly within a decade solar went from delivering 1% of the energy nuclear did, to 70%. At this rate it will close the gap before 2025.
The biggest obstacle has been the anti-science FUD spread largely by environmental groups.
https://www.powermag.com/taiwan-shuts-another-reactor-as-par...
Total electricity consumption peaked in Western nations over a decade ago and has basically been flat or dropping since [1][2]. So when you say, "In the future, we will need far more electrical energy" it's missing ... "in the developing world." Which, personally, is not my first choice for where to put nuclear reactors.
Second, we don't actually need to use a bunch of electricity to remove carbon from the atmosphere - I'm not sure what technology you're referring to there. The easiest way to do it is by growing as many trees as we can, which doesn't really take power at all aside from the initial planting.
[1] https://www.eia.gov/energyexplained/electricity/use-of-elect... [2] https://ec.europa.eu/eurostat/statistics-explained/index.php...
Done properly, it has benefits as read from this balanced article: https://www.greenbiz.com/article/carbon-sequestration-farms-...
We'll need a stable price target (and maybe paranoia of the Chinese) to get LFTR and better reactor design actually economical and the necessary political reforms.
Also, I believe the EROEI of 10 for solar is for PV operated in Europe. But there's no reason to put the solar-powered PV factories in relatively bad locations like Europe.