The currently identified reserves of Uranium could last us at least 200 years, even longer if you enrich it more or use newer reactor designs. If you extract it from seawater we've got about 60000 years worth
Then if you use breeder reactors, there is so much Thorium on the planet that we can pretty much assume we will have solved fusion by the time we run out.
Wind and Solar are indeed cheap, but have higher materials throughput than nuclear, and they use orders of magnitude more land. This land use will almost certainly have a larger impact on the environment than Nuclear. There is also new research that is showing wind turbines are a major cause of insect decline as well.
The other issue is that you need something for dispatchable and base load energy. Solar and Wind do not produce 24/7, and as a result their capacity factors are typically ~29% and ~40%. They can produce cheap electricity, but not on demand, and not 24/7. So this means you're now looking at creating giant battery banks to load shift by an hour or two to charge when there is excess production and prices are cheap. Oh yeah... these battery banks are nowhere near 100% efficient either, and currently require tons of lithium, which is getting very expensive.
Now lets say you've got solar and wind up the wazoo, and battery banks to load shift. Can you still power society 24/7? Nope. You still need either hydro, natural gas, or nuclear to run the grid in a stable and reliable manner. Batteries to provide base load overnight would require so much money and materials that I don't see this happening any time soon without major breakthroughs in battery tech.
What about pumped hydro? Well... turns out dams need to manage water levels for practical reasons and while some pumped hydro can be useful, the available capacity for this when you take into account electricity production and practical water management issues is minimal.
Why can't we cover the deserts in solar and wind and transmit it? Or move electricity from one area to another when the wind isn't blowing or its cloudy? Well transmission is expensive and incurs energy loss in a major way. transmission and sub-transmission lines today account for about a 30% energy loss. Now you're talking about tripling or quadrupling the transmission infrastructure at a minimum, and moving energy over great distances, which is VERY expensive compared to producing it near where it is consumed.
There is a good article here on the technical challenges: https://electrical-engineering-portal.com/total-losses-in-po...
Don't forget that deserts are part of Earths ecosystems too, and host a variety of wildlife that is also worthy of conservation.
At the end of the day nuclear can produce an absolutely massive amount of energy with little land use and a high degree of safety with zero ongoing carbon emissions and a lower materials throughput than any other source. In my opinion we would be stupid to not use it.