A method of resistance spot welding workpiece stack-ups of different combinations of steel workpieces and aluminum workpieces includes several steps. In one step, a workpiece stack-up is brought between a first weld gun arm and a second weld gun arm. The first weld gun arm includes a first welding electrode, and the second weld gun arm includes a carrier that supports a second welding electrode and a third welding electrode. Another step involves rotating the carrier and passing electrical current through the workpiece stack-up using the first welding electrode in conjunction with either the second welding electrode or the third welding electrode depending on which electrode has been rotated into facing alignment with the first welding electrode.