1. Heat a medium skillet over high heat. Add garlic and chiles to pan; cook 1 minute, pressing down on chiles to flatten. Add 1 1/2 cups stock to pan; bring to a boil. Remove from heat; let stand 5 minutes. Place chile mixture and 1 cup hominy in a blender, and process until smooth.
2. Heat a large Dutch oven over high heat. Add oil to pan; swirl to coat. Add pork; cook 4 minutes or until browned on all sides. Remove pork from pan; set aside. Add onion and next 5 ingredients (through red pepper) to pan; cook 1 minute, stirring. Add beer; cook 30 seconds. Stir in remaining 1 1/2 cups stock, chile mixture, remaining hominy, and bay leaf. Bring to a boil. Cover, reduce heat, and simmer 6 minutes. Stir in pork; simmer, uncovered, 5 minutes. Discard bay leaf. Serve with avocado, tomato, cilantro, and lime.