Place one large ice cube into a single old fashioned, low ball, or other straight-sided glass that is 4 inches or so tall. If you don't have large ice cubes, fill the glass halfway with small cubes. Large ice cubes are preferred for this cocktail, but in a pinch, small ones will do.
Combine the Lillet, Campari, Gin, and the dashes of orange bitters in a bar pitcher or even a 2-cup measuring cup place several ice cubes. Large ice cubes are preferred for this cocktail. But if you don't have large ice cubes, use the smaller ones.
Using a bar spoon or any long spoon, stir the cocktail for 20 – 30 seconds. Stir the cocktail for half as much to not dilute as much if using small ice cubes.
Pour into the ice-filled glass.
Twist the orange peel over the cocktail to release some of the oil from the rind.