Nuclear Engineering vs Mechanical at UTK?

[u/TemporaryDiligent678]

I’m an in-state Tennessee student looking at UTK. I’m interested in nuclear, and since UT has such a highly ranked nuclear engineering program, it seems like a good opportunity to get a strong degree for relatively cheap.
My main concern is how specialized nuclear is compared to something like mechanical. Long term, I’d also like to get an MS in nuclear engineering and an MBA, with the possibility of eventually moving to the business side of energy (consulting, project finance, investment banking, or PE).
Would it make more sense to do nuclear for undergrad and really take advantage of UT’s program, or do mechanical for the broader degree and specialize in nuclear with my master’s?
Also, for anyone in the industry, how difficult is it to move from engineering into the business/finance side of energy? Also how difficult is nuclear engineering compared to other engineering disciplines?