They already use nuclear power in loads of applications. The mars rover, perseverance satellites and even satellites in LEO. They can provide power during lengthy lunar nights and the heat they produce as a byproduct would be useful for keeping people warm. This isn’t even even mentioning advancements in nuclear reactor designs that make meltdowns conditions considerably less likely. Your right that solar cells are a great way to produce power in LEO but on the moon there are more variables that make it viable for a nuclear reactor to be a rational power source.
But if you used google for searching on the internet even using a non google browser it would undermine the trademark.
I used it a decent amount at my last job to write test reports that had a lot of similar text with minor changes.
I also use it for dnd to help me quickly make the outlines of side characters & flesh out my world.