Power went out during a sunny day during peak demand. This isn't a base load problem, so throw some solar panels and wind turbines down. Takes about 1/10th the time to install and 1/20th the capital. Let's be efficient in how we build our infrastructure, but also do it in a timely manner.
I would rather build more high-voltage direct current (HVDC) that criss-cross the nation and provide a more durable backbone that also enables the trading of energy between large regions undergoing weather related demand. This is going to be a bigger bang for the buck than a handful of nuclear reactors, as those reactor sites will mostly be at existing sites and won't include the infrastructure improvements necessary to deliver the additional power out of their region.
And please don't build modular mini reactors. They cost more to operator overall and produce an exponentially higher amount of radioactive waste. As components wear tends to be high and those worn components become low-grade waste. It's also a Square-Cube law problem, in that a smaller vessel has more surface area for its volume. Every surface is an opportunity for contamination. For the most part, these modular reactors are an investment scam. They have some limited industrial utility, but you shouldn't bother installing one within 50 miles of a major metropolitan area, as there are far better solutions. (better = safer, cheaper, faster, cleaner)