Renewables have been built on the back of decades of subsidies, tax credits, mandated purchase obligations (RPSs), and net metering policies that shift integration costs to non-participants. Singling out nuclear here is intellectually dishonest unless you apply the same standard to all sources.
A grid running 70%+ renewables needs massive storage, transmission overbuild, and firm backup capacity costs that don't appear in solar/wind LCOE figures but are real and substantial. Nuclear provides firm, dispatchable, carbon-free baseload with a ~90%+ capacity factor. Solar capacity factors are 20-30%, wind 30-45%.
The OECD's 2020 Projected Costs study shows that at a 3% discount rate with a $30/ton carbon price, nuclear was the cheapest dispatchable option in most countries. Nuclear becomes comfortably cheaper than coal and gas under carbon pricing at low discount rates.