How to fix the Arc de Triomphe

Traffic around the Arc de Triomphe in Paris is insane, because of poor planning. Here is my suggestion for fixing it.

First, split the the roundabout into two parts, the outer circle and the inner circle. The inner circle would be used only by traffic from the Champs Elysees/Grand-Armee. All other traffic would have to use the outer circle.

There would be 2 intersections on either side of the Arc, and there would need to be 3 stoplights at each intersection. On green, incoming traffic from the Champs Elysees could enter, and could choose either the inner circle or outer circle. Synchronized with this, a green would allow traffic in the inner circle to exit. When these are red, the outer circle light would be green, and the outer traffic could either turn right to exit, go straight, or enter the inner circle.