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1
Place flank steak, carrots, celery, quartered onion, 2 cloves garlic,1/2 teaspoon oregano, bay leaves, 1 teaspoon cumin and 1/2 teaspoon salt in a large stock pot. Cover with water, stir and bring to a boil. Reduce heat and simmer, covered, until the meat is tender, 1 1/2 to 2 hours. Remove the meat from the stock and allow to cool. Strain stock, discard vegetables and bay leaves and reserve broth for later use. Cut meat into 2-inch cubes. Shred it by hand or use two forks to pull meat into strings and reserve.
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2
Adjust oven rack to lower-middle position and preheat oven to 375u00b0F.
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3
Slice remaining onion into 1/4-inch strips. Heat olive oil in a large skillet over medium heat. When oil is shimmering, add red and green peppers, sliced onion and a 1/2 teaspoon salt and cook until nearly softened, about 8 minutes. Add remaining garlic and continue cooking until tender, another 2 to 3 minutes. Stir in 2 cups of reserved broth, along with tomatoes, tomato paste, remaining 1/2 teaspoon oregano, 1 teaspoon of cumin, peas and olives. Simmer for 10 minutes. Add beef to pan, taste and adjust seasonings if necessary. Return to a simmer. Remove from heat, and cover to keep warm.
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4
While sauce is cooking, heat the vegetable oil in a medium saucepan over a medium-high heat. Add cumin seeds and cook until they're fragrant (about a minute). Add the rice and cook, stirring to coat for a minute before adding chicken broth. Bring to a boil and reduce heat to low. Cover and simmer for 15 to 20 minutes. Allow to rest for 5 minutes, season with salt and fluff with a fork.
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5
Place beans in a medium bowl. Add lime juice and remaining 1/2 teaspoon cumin. Season with salt, and mash lightly with a fork or muddler.
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6
Spray an 8- by 8-inch baking dish with cooking spray. Line the bottom with 3 overlapping tortillas to form a bottom crust. Spread with black beans, followed by layers of beef mixture and rice. Top with another overlapping layer of 3 tortillas. Scatter with cheese and transfer to the oven to cook until casserole is warmed through and cheese is bubbly and browned, 30 to 35 minutes. Remove from oven and let rest 5 minutes before serving.
