Rosemary-Rooibos Syrup

In a small saucepan, bring the water to a boil with the rosemary sprig; simmer over moderate heat for 5 minutes. Remove from the heat. Add the tea bags and let steep for 5 minutes. Discard the tea bags and rosemary and stir in the sugar until dissolved. Let cool, then pour into an airtight container and refrigerate for up to 2 weeks.