Combine peaches and brown sugar, mix well. Refrigerate cover over night. Add the vinegar, stir to combine, cover, and refrigerate for 2 days. Strain and use the peaches for something else. Refrigerate the syrup.
Bring water to a boil, add the tea bags, and let steep for 7 minutes. Remove tea bags and chill.
Combine the peach syrup and tea, serve over ice garnished with peach slices and mint.