ignoring the fact that we live in the real world where money isn't infinite: nuclear provides stable base power generation, and it does it without taking up a lot of space.

Renewables produce power intermittently, and require storage to match demand. Storage either requires non-renewable resources like lithium, or else large amounts of land. in theory yes, any amount of power could be produced by renewables, but in practice renewables require other non-infinite resources to turn the power they generate into actual usable electricity coming out of your wall socket.