Bring the sugar and water to boil in a saucepan. Reduce the heat, then cover the mixture and allow it to simmer for a few minutes. Then, take it off the heat and add in the lemon juice, mint, orange juice, and orange zest. Put something over the top and leave it alone for an hour.

Strain the mixture. Get rid of the excess mint and zest. Stir in the water and the ice, then put the garnish on top.