The main barriers for building new nuclear plants are that they aren't cost effective, so no one wants to invest in them. I'm certain they could be built cheaper without regulations about safety and funds for long term storage of waste. But I don't think we want to go there.
(Your second link directs me to a documentary about Bill Gates. How is that relevant?)
This is cheap, good for at least some centuries, and forecloses no future options for its disposition. Why do anything else now?
Finally, even if all of the above was overcome, it’s just a way to push the problem to future generations. I’d be quite upset if our generation would have to deal with a hundred thousand tons of radioactive waste in old corroding containers without getting anything for it.
There was an argument made last year [1] that the problem with nuclear power generation is that everything we have in production is 50+ yo technology. Modern reactors are far cleaner, far safer, but the political hurdles for regulatory approval and NIMBY hurdles are enormous barriers.
Incidentally, if we're considering mining and transport of base resources to be part of indirect deaths, let's not forget that our renewable infrastructure relies on very dirty mining and transportation processes for quartz, rare earth minerals... and coal!
[0] https://en.wikipedia.org/wiki/Traveling_wave_reactor#Fuel
[1] https://www.netflix.com/title/80184771