Personally, while I'm not opposed to nuclear, I'm pretty bearish on it. Most places are seeing nuclear get more expensive and not less. Meanwhile solar and batteries are getting cheaper. There's also the issue that nuclear reactors are generally most economical when operating with very high load factors (i.e. baseload generation) because they have high capital costs, but low fuel costs. Renewables make the net-demand curve (demand - renewable generation) very lumpy which generally favors dispatchable (peaker plants, batteries, etc.) generation over baseload.
Now a lot of what makes nuclear expensive (especially in the US) is some combination of regulatory posture and lack of experience (we build these very infrequently). We will also eventually hit a limit on how cheap solar and batteries can get. So it's definitely possible current trends will not hold, but current trends are not favorable. Currently the cheapest way to add incremental zero-carbon energy is solar + batteries. By the time you deploy enough that nuclear starts getting competitive on an LCOE basis, solar and batteries will probably have gotten cheaper and nuclear might have gotten more expensive.
[0] https://www.construction-physics.com/p/can-we-afford-large-s...
Even without renewables in the equation, the demand side of the curve is already extremely lumpy. If you're only affordable when you're operating near 100% of the time (i.e. "baseload") you simply can't make up the majority of power generation. Batteries are poised to change this - but at that point you've got to be cheaper than the intermittent power sources.
New small modular reactors promise great improvements, as they can be pre-built in factories, require limited maintenance, lower risk, and as a result much lower cost per MW.
https://www.rolls-royce.com/innovation/small-modular-reactor...