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1
Place chicken thighs into a large saucepan, pour in water to cover, and bring to a boil over medium heat. Reduce heat to a simmer, skim off any foam that forms, and cook the chicken until tender, about 45 minutes. Set chicken aside to cool, and reserve 2 cups of the chicken broth from the pan. Remove bones and skin from cooled chicken thighs, and chop the chicken meat coarsely.
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2
Place the potatoes into a large pot and cover with salted water. Bring to a boil over high heat, then reduce heat to medium-low, cover, and simmer until tender, 15 to 20 minutes. Drain and allow to steam dry for a minute or two.
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3
Preheat oven to 350 degrees F (175 degrees C).
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4
Bring milk and butter to a boil in a saucepan over medium heat, stirring until butter has melted. Let the mixture cool completely.
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5
Place chicken meat into the bottom of a 9x13-inch baking dish. Arrange potato cubes over the chicken. Pour the reserved chicken broth into a bowl, and whisk in the cream of chicken soup; pour the soup mixture over the chicken and potatoes. Pour cooled milk mixture into a large mixing bowl, and gradually whisk in self-rising flour, about 1/2 cup at a time, until the batter is smooth. Scrape the batter over the ingredients in the baking dish.
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6
Bake in the preheated oven until the pot pie is bubbling and the crust is browned, about 40 minutes.
