After 2 hours, set the wire rack with the meat aside while you slice the peppers open and remove the stems, seeds, and membranes. Add to a food processor or blender.
Squeeze the garlic cloves out of the bulb (they should be soft and golden brown) into the food processor with the peppers.
Add the onions and remaining beer to the food processor and blend until smooth, about 2-3 minutes.
Heat a Dutch oven or heavy bottomed pot over medium heat with 2 tablespoons of olive oil. Once hot, add the meat and break it apart to fully cook before adding the blended peppers, onions, and garlic.
Add 4 cups of beef broth and bring to a boil before reducing to a low heat, covering, and simmering for at least an hour before serving. (For an extra smoky chili, you can simmer on the smoker uncovered at 250ºF, adding broth as needed.)
Before serving the chili, stir in 1-2 tablespoons of hot sauce or vinegar along with salt and pepper as needed. Serve with tortilla chips, sour cream, shredded cheese, pico de gallo or salsa macha, and diced avocado, if desired.