yep, mechanical will get you into the nuclear industry. I’ve been doing that for the last 20 years or so.
OP - I don’t know why you are attracted to nuclear engineering. Could you elaborate? Most jobs in the field are mechanical, esp. within the power industry. Operating systems in a power plant are a lot of steel and hot water. The real nuclear bits make the water hot. Yes, I am oversimplifying a little bit, but in many ways, an NE degree at the UG level is a specialized ME degree. So depending on where you really want to end up, ME could be the right ticket.