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1
Bring water to a simmer in a skillet over medium heat; add chicken. Cover skillet and cook until chicken is no longer pink in the center, 20 to 25 minutes. An instant-read thermometer inserted into the center should read at least 165 degrees F (74 degrees C). Remove chicken from water and cool; shred with a fork.
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2
Heat 1 tablespoon vegetable oil in a skillet over medium heat; cook and stir chicken, tomatoes, green onions, chicken broth, flour, garlic, cumin, oregano, chili powder, and salt until heated through, 3 to 5 minutes.
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3
Heat remaining vegetable oil in a heavy 10-inch skillet over medium heat; carefully dip tortillas in the hot oil to soften, about 1 minute. Remove tortillas with tongs and drain on paper towels, reserving oil. Heat oil to 375 degrees F (190 degrees C).
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4
Spoon about 2 tablespoons chicken mixture down the center of each tortilla. Tightly roll each tortilla around the filling and secure with a wooden toothpick.
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5
Fry rolled-up tortillas, working in batches, in hot oil until golden brown, 3 to 5 minutes. Remove taquitos with a slotted spoon and drain on paper towels. Serve taquitos on a bed of shredded lettuce with guacamole on the side.