Pumpkin-Spiced Mushroom Chips

1 cup apple cider

1½ cinnamon sticks, divided

1 tablespoon extra-virgin olive oil

1½ whole cloves

¼ cup canned pure pumpkin puree

½ ounce white rum

½ pound oyster mushrooms, stemmed

1. Simmer cider, 1 cinnamon stick, olive oil, and cloves for 5 minutes. Whisk in pumpkin. Strain; add rum and toss with mushrooms and remaining cinnamon stick, crushed. Spread on rack set on baking sheet. Bake at 400^o until crisp, about 35 minutes. Sprinkle with salt,