Step 1

Add dried chiles and 3 cups water to a large Dutch oven. Cook over medium-high until water boils; reduce heat to medium, and simmer 5 to 7 minutes. Remove chiles from water, and place in a blender. Discard water. Add garlic, onion, and tomatoes to blender. Process until mixture reaches a paste-like consistency, about 1 minute. Transfer to a bowl; season with cumin and 1/2 teaspoon salt; set aside.

Step 2

Heat broth in Dutch oven over medium-high. Add chile mixture and mushrooms; bring to a boil. Reduce heat to medium-low; add chickpeas and remaining 1 teaspoon salt. Cook, stirring occasionally, until mushrooms are tender, 25 to 30 minutes.

Step 3

Top servings of pozole with cabbage, red onion, radishes, oregano, and chile oil. Serve with lime wedges.