Preheat oven to 300° F (275° F for convection oven). Line a rimmed baking sheet with parchment paper.
In a medium bowl, stir together the brown sugar, spices, salt, and pepper.
To another medium bowl, add the egg white. Whisk briskly until frothy, about 30 seconds. Add the almonds and toss with a wooden spoon until coated. Add the spice mix and toss until the nuts are well-coated. Spread evenly on the baking sheet.
Place in oven and bake, stirring once, until fragrant and toasted, about 45 minutes. Let cool completely and then serve. Nuts will keep well at room temperature in a sealed bag or jar for several days.