Add the extra pad and shoot the gun. In fact I would shoot if for several months. When it gets cold and you start wearing a heavy coat you may find that you do not need the extra pad. I tend to shoot two different guns in hot and cold weather.

Be aware that all guns do not have a point of impact that relates directly to the sight picture. Some hit high and some hit low or to one side or the other. I had a Parker that had barrels which did not converg at any reasonable range. The right barrel hit consistently about a foot too far to the left. When made the barrels were not well regulated.