In a large heavy pot (such as a cast iron Dutch oven), heat the fat or oil over high heat. Add the meat and sear, stirring, until no longer pink. Lower the heat to medium-high. Add the onions, jalapenos, garlic, chiles, and chili powder, and cook, stirring constantly, until the onions are wilted and start to color, 4 to 5 minutes. Add the cumin, oregano, salt, and pepper, and cook until fragrant, about 20 seconds. Add the tomatoes and cook, stirring, for 1 minute. Add the beer and tequila and cook, stirring, to deglaze the pan. Add the chipotles and adobo sauce and 4 cups of the stock, stir well, and bring to a boil. Reduce the heat and simmer partially covered, stirring occasionally, until the meat is very tender, 2 to 3 hours, adding the remaining cup of stock as needed if the chili becomes too dry or thick. When the meat is tender and the chili is ready, add the masa harina 1 teaspoon at a time to thicken to desired consistency, stirring well and cooking after the addition of each before adding more.

Remove from the heat and correct the seasoning, to taste. Skim any fat from the surface.

Ladle into bowls and garnish each with cilantro, chopped onions, and a dollop of sour cream. Serve with hot cornbread.