Combine first 5 ingredients in a small bowl. Combine egg white, oil, and Worcestershire in a large bowl; stir with a whisk until mixture is frothy. Add nuts, pumpkinseeds, and sugar mixture, stirring well to coat.
Spread nut mixture on a baking sheet coated with cooking spray. Bake at 350° for 10 minutes. Remove pan from oven; stir nuts to break apart. Return pan to oven. Reduce oven temperature to 300°. Bake 10 minutes. Remove nuts; cool 5 minutes. Stir to break apart nuts.