In a large pitcher, pour in the pomegranate juice, freshly squeezed orange juice, and lime juice. Stir the mixture well until thoroughly combined.
Add the honey or agave syrup to the juice blend. Stir continuously until the sweetener has completely dissolved into the mixture.
Gradually introduce the sparkling water or lemon-lime soda into the pitcher, gently stirring to preserve the effervescence and keep the punch bubbly.
Perform a taste test: if you desire additional sweetness, slowly mix in more honey or agave syrup until the flavor is to your liking.
For serving, take individual glasses and place a small handful of fresh pomegranate seeds, a slice of lime, and a mint leaf in each one for a delightful presentation.
Carefully pour the sparkling pomegranate punch over the prepared garnished glasses, filling them generously. Serve immediately to enjoy this refreshing and vibrant beverage!
Notes
For an extra touch, consider serving the punch in clear glassware to showcase the beautiful colors and garnishes.