Add brandy, light rum, bourbon, fresh lemon juice, and simple syrup to a cocktail shaker.
Fill the shaker with ice and shake vigorously for 10–12 seconds until well chilled.
Fill a collins glass with fresh ice cubes.
Strain the shaken mixture into the glass over the ice.
Top with soda water and stir gently once to integrate.
Garnish with a lemon wheel and serve immediately.
The combination of three distinct American-style spirits is intentional and traditional - resist the urge to simplify to one base spirit, as the interplay of brandy's fruitiness, rum's sweetness, and bourbon's oak is precisely what defines this Southern punch. Use powdered or fine sugar dissolved into a simple syrup rather than granulated sugar to ensure clean integration without grittiness.
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