Do I need to make reservations to be seated in the Mine tonight?

No you should be able to just request it. I might have to wait a little bit but I doubt it. I would suggest getting there at opening if you can.

Even if you make reservations, be aware they don't mind sitting a party of 12 adults into an area for 8 if it's more convenient for them. If it's a smaller party you should be okay, hopefully.