2 Tbsp of dry oregano (Mexican oregano if available)
Garnishes (can prep while Pozole is cooking):
Half a small cabbage, thinly sliced
1/2 white onion, chopped
2 avocados, chopped
4 limes, quartered
A bunch of red radishes, thinly sliced
A couple of dozen tostada shells (see Recipe Note)
Boil 5 quarts water: Fill a large stockpot with 5 quarts of water. Set on heat to bring to a boil while you proceed with the next steps.
Lightly roast chiles, cover with 3 cups hot water. Remove and discard the stems, seeds, and large veins from the chili pods. Heat a cast-iron pan on medium-high and lightly roast the chili pods for a couple of minutes, until they being to soften. Do not let them burn. While the chilies are heating, bring a medium pot with 3 cups of water to a boil. Once the chiles have softened, remove the pot of boiling water from the heat, add the chiles to the pot and cover. Let the chiles soak in the hot water for 15 to 20 minutes.
Add pork and spices to a large pot of boiling water: add meat to boiling water. Scrape up any browned bits at the bottom of the pan, and any garlic, and add those to the pot as well. Add the rinsed hominy.
Add bay leaves, cumin, and oregano. When you put the oregano in, smoosh together with your hands so that the oregano breaks up more as it goes in. Add a tablespoon of salt. Bring to a simmer, reduce the heat and cook for 15 minutes.
Prepare the red sauce by puréeing in a blender the chilies, 2 1/2 cups or so of their soaking liquid, a teaspoon of salt, and 4 cloves of garlic. (To prevent the blender from creating too much pressure, it's probably best to start with the chiles and garlic and only a cup of the liquid in the blender, and then adding the rest of the liquid.) Strain the red sauce through a sieve, discarding the tough bits of the sauce.
Add the red chili sauce to the pot with the pork and hominy. Add another couple teaspoons of salt. Return to a simmer, lower the heat to just high enough to maintain a simmer, partially covered.
Cook for 2 to 3 hours until the pork is completely tender. Skim away excess fat. Taste for seasoning and add more salt to taste (you will likely need more than you expect, perhaps a tablespoon or more.) The resulting soup should be rather brothy, as you will be adding a lot of garnishes. Add more water if necessary.
Assemble garnishes: When getting ready to serve the pozole, you can prep the garnishes (slice the cabbage, chop the cilantro, etc.) To serve, arrange the garnishes in bowls on the table and serve the pozole soup into bowls. Let your guests pick and choose which garnishes they would like on their pozole. Serve with tostada shells (or tortilla chips if you can't find tostada shells).