Back to the original question: why not 3 cams.
There are only 2 valves needed, intake and exaust. The valves are on oposite sides of the cyl, so unless you want ot use short pushrods, you would need one cam directly over each row of valves. one cam is for intake (towards the middle of the engine), one is for exaust (towards the outside of the engine). No matter how many valves you add, you still only need 2 cams because there are only 2 rows of valves.. Lobes would be added to the appropriate cam to actuate the valves if you add more than 1 valve for intake or exaust.
The only reason to have a 3rd cam is if you needed a seperate valve in a differet position to do something wierd. There was an idea floated around a while ago with an engine that had 3 intake valves. 2 would open under normal circumstances, but when crusing (part throttle) conditions, only the 3rd valve would open, which was smaller than the other 2, and was positioned so the air/fuel from that valve would hang around the spark plug, letting the engine fire with a very high air/fuel ratio (I seem to remember 18:1 and higher)
But even in that case, the valve was actuated by another cam lobe on the intake cam.