Spray a large pot with nonstick cooking spray and place over medium heat. If using instant pot, use saute setting.
Add the onions and cook for about 5 minutes, until just softened. Add the garlic and bell peppers, and cook about 5 minutes more until tender. Add the ground turkey and cook until browned, breaking it up into bite-sized pieces. Season with salt, pepper, chili powder, cumin, cinnamon, and oregano.
Add pumpkin beer if using. Cook until mostly reduced, then continue.
Stir in remaining ingredients, bring to a boil, then reduce heat and simmer for 20-30 minutes to blend flavors, or cook on low in instant pot for several hours.
Alternatively, just brown the turkey with the seasonings and combine with remaining ingredients in a crockpot. Cook on low for 6-8 hours.
Serve with your favorite chili toppings, such as shredded cheese and chopped onions.