1. In a 6-8 qt pan combine pork with1/3 cup water. Cover and cook over medium heat stirring occasionally, until meat is very juicy, 15-20 minutes. Uncover, increase heat to high, and cook stirring often, until liquid is evaporated and meat is browned, 20- 30 minutes. Lift out meat ande set aside.
2. Reduce heat to medium. IF you have leftover rendered pork fat in the pand, discard all but 3 tbls. if not add oil, Add onions garlic, and cumin, stir and cover. Coo stirring occasionally, until onions are soft, about 8 minutes.
3. Return meat and any accumulated juices to pan. Add tomatoes with their juice and broth. Break up tomatoes with a spoon. Bring almost to a boil, then reduce to a gentle simmer, cover and cook 1 hour.
4. Stir in chiles and oregano. Cover and cook until pork is very tender when pierced and flavors are blended, about 15 minutes. Season to taste with salt and pepper. Sprinkle with cilantro and serve with lime wedges to squeeze over chili.
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