Bring 7 cups water to a boil in a large saucepan; add sugar and stir until dissolved, about 5 minutes. Remove from heat and cool syrup to room temperature, about 30 minutes.
Bring 2 cups water to a boil in a small saucepan; remove from heat and add tea bags. Steep until water is room temperature, about 30 minutes. Remove and discard tea bags.
Pour brewed tea over syrup. Add orange juice, lemonade, and apricot brandy; stir well to combine. Pour into a wide-mouth container. Freeze slush mixture for 3 days, stirring twice a day with a wooden spoon to achieve a slushy consistency.