Triumvirates are a great idea and never go horribly wrong.
Not a triumvirate, just an executive composed of three peers. Won’t go terribly at all. IT IS FINE IF ONE STARTS CALLING HIMSELF FIRST CONSUL
We have 7 persons in the highest exective office in Switzerland. (Technically one of them is president of this comitte, but this mandate rotates each year, and its mostly for representing purposes like at visits or during a catadtrophe)