1. In a cocktail shaker, add pineapple juice, orange juice, lime juice, orgeat syrup, dark rum, triple sec, and Angostura bitters.
2. Fill the shaker with ice and shake vigorously for about 10-15 seconds until well combined and chilled.
3. Fill a tall glass with ice and strain the cocktail into the glass.
4. Garnish with a pineapple wedge and cherry.
5. Serve and enjoy your tropical fruity cocktail with rum!

This cocktail has a sweet and tangy flavor from the pineapple, orange, and lime juices, with a hint of almond flavor from the orgeat syrup. The dark rum provides a rich and complex flavor, while the triple sec adds a subtle sweetness and the bitters provide a spicy note. Overall, this cocktail is a delicious and balanced tropical drink that's perfect for sipping on a sunny day.

The name "Tiki Breeze" is inspired by the tropical flavors and ingredients used in the drink, as well as the tiki culture which often features rum-based cocktails. The name also evokes a feeling of relaxation and escape, as if you were enjoying a refreshing drink on a beachy island paradise.