An exterior grade acrylic should be fine, but it depends on what the "brown coat" consists of. Is it bare plaster? I'm not very familiar with plaster (here we have mostly wallboard/ drywall, which is a plaster-paper sandwich), but I'm going to go out on a limb and say it needs a finish coat of some form of primer, and a base coat of a good exterior grade acrylic or oil based paint, then you paint with either an acrylic or oil based paint on top of that (stay the same as the base coat).
Sorry I can't be of more help, I generally require the wall to be prepped before I paint on it
Michele