Cook cinnamon stick, cloves, and ginger in a Dutch oven over medium heat, stirring constantly, 2 to 3 minutes or until cinnamon is fragrant.
Gradually stir in juices. Bring to a boil over medium-high heat; reduce heat to medium-low, and simmer 15 minutes. Pour mixture through a wire-mesh strainer into a heat-proof pitcher; discard solids.
Let stand 30 minutes. Cover and chill 2 hours. Store in refrigerator up to 2 days. Stir and serve over ice. Garnish, if desired.
Note: For testing purposes only, we used POM Wonderful 100% Pomegranate Juice and Welch's 100% White Grape Juice.