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Step 2
Preheat broiler to high.
Step 3
Combine Cubanelle, poblano, and Fresno chiles on a foil-lined jelly-roll pan; broil 20 minutes or until charred on all sides, turning after 10 minutes. Wrap peppers in foil; let stand 10 minutes. Peel peppers; discard peels, stems, and seeds. Chop peppers; set aside.
Step 4
Heat a large Dutch oven over medium-high. Add 1 teaspoon oil to pan; swirl to coat. Add one-third of pork to pan; sauté 5 minutes or until browned. Remove pork from pan. Repeat procedure twice with the remaining 2 teaspoons oil and pork.
Step 5
Return pork to pan. Reduce heat to medium. Add onion and garlic to pan; cook 5 minutes, stirring occasionally. Add cilantro stems, chili powder, oregano, and cumin; cook 2 minutes, stirring constantly. Stir in stock; bring to a boil, scraping pan to loosen browned bits. Stir in peppers, sugar, salt, and tomatillos. Reduce heat to low, and simmer 11/2 hours. Stir in masa harina; cook for 20 minutes or until chili thickens and pork is very tender. Ladle chili into bowls, and serve with sour cream and cilantro.