I have the three button jacket (just ran into my closet to make sure) and I wear it with a button down shirt, although it looks good with a solid shell underneath as well.
I will warn you though that it was randomly tricky to find a button down that worked with it because of the placement of the buttons on the jacket. It might just be that I’m odd and picky (great possibility here) but I kept trying on shirts where a button on the shirt was just above the button on the jacket that made it look weird for me - I think I drove the poor salesgirl crazy.
Good luck on your interview!