In a small saucepan, combine 2¼ cups cream, coffee, cinnamon stick, cloves, orange zest, and lemon zest. Bring to boil over medium heat stirring occasionally. Remove from heat, and let stand for 15 minutes. Strain through a fine-mesh sieve, discarding solids.
In a large bowl, whisk together egg yolks and 6 tablespoons granulated sugar until thickened and lemon-yellow. Set aside.
In a medium saucepan, combine infused cream, brown sugar, and remaining 1½ cups cream; heat over medium-high heat until bubbles form around edges of pan. (Do not boil.). Remove from heat. Whisk ¼ cup hot cream mixture into egg yolk mixture. Gradually add remaining hot cream mixture to egg yolk mixture, whisking constantly. Whisk in brandy. Strain through a fine-mesh sieve into a large liquid-measuring cup or bowl with a spout.
Carefully divide mixture among 6 (5-inch) shallow ramekins. Arrange ramekins in a large roasting pan. Add hot water (130° to 140°) to come halfway up sides of ramekins.
Bake until just set, 25 to 30 minutes. Remove from water bath, and let cool completely. Refrigerate overnight, loosely covering with foil.
Sprinkle 1 tablespoon remaining granulated sugar over each custard. Using a handheld kitchen torch, carefully brown sugar. Serve immediately.
Notes
*We used French Market Coffee & Chicory.
Recipe by Louisiana Cookin' at https://louisianacookin.com/brulot-brulee/