Step 1 Heat the oven to 300 degrees. In a large mixing bowl, whisk the egg white until frothy, then whisk in the brown sugar until the sugar is moist. Add the almonds, tossing to evenly coat.
Step 2 Spread the almonds into a single, evenly spaced layer on a parchment-lined baking sheet. Toast the almonds until they are golden brown, 15 to 20 minutes.
Step 3While the almonds are toasting, in a small bowl combine the sugar, cinnamon and cayenne pepper.
Step 4When the almonds are done, immediately sprinkle over the spice mixture, using a spatula to toss the hot almonds with the spices until evenly coated. Set the almonds aside to cool completely before using. This makes a generous 2 cups spiced candied almonds, more than is needed for the remainder of the recipe; the almonds will keep, sealed in an airtight container, at room temperature for up to 2 weeks.