Preventing condensation on the inside of an exposed structural exterior brick wall
The only thing that will prevent condensation on the wall is insulating the wall (and you will need a vapour barrier inside the insulation).  Sorry.

(Technically, you can prevent condensation by reducing the moisture content of the room.  Note, by this I don't mean "relative humidity", I mean "amount of water vapour measured in e.g. g/m³".  This will either mean making the room unpleasantly arid, or unpleasantly cold, or both.)