To make the apple chips (allow 5 hours in advance to prepare)
Preheat oven to 150 °F. Wash and slice the apple into 1/4 inch slices, removing any seeds. Dip the apple slices into simple syrup (equal parts sugar and water) and place onto a silicone baking mat.
Sprinkle the apple slices with cinnamon and sugar.
Garnish some of the slices with mint (also dip in simple syrup).
Place the tray into the oven and bake for 5 hours, or until golden brown. Set the apples chips on a wire rack to cool and get crisp.
To make the demerara spiced cordial
Add the spices to a small saucepan over medium heat. Shake the spices back and forth so that they do not burn.
As soon as the spices become toasty and aromatic add the water and sugar. Stir continuously to dissolve the sugar. Bring to a simmer and turn the heat to low. Let simmer for 10 minutes, remove from heat, and strain through a fine mesh strainer. Add demerara rum and let cool.
To make the cocktail
Add the apple brandy, Averna, lemon juice, apple juice, cordial, and bitters to your shaker.
Fill your shaker with ice and shake vigorously for 10 seconds.
Strain and serve up in a chilled coupe glass.
Float a freshly made apple chip on top for garnish.