Simmer the chicken breast in lightly salted water for 15-20 minutes, or until cooked through. Remove and shred with two forks.
Finely chop the onion and garlic. Dice the tomatoes.
Heat the oil in a skillet over medium heat. Sauté the onion and garlic for 3-4 minutes, until softened.
Add the diced tomatoes, chipotle peppers, and tomato paste. Cook for 10 minutes, until the tomatoes have broken down.
Season the mixture with oregano, smoked paprika, salt, and pepper. Stir in the shredded chicken.
Cook for another 5 minutes to allow the flavors to meld. Remove from heat.
Warm the tortillas in a skillet or directly over a flame until slightly charred.
Fill the tortillas with the tinga chicken, then top with fresh cilantro, grated cheese (optional), and a squeeze of lime juice.
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