1. In a 4- to 6-quart slow cooker, mix together the mushrooms, carrots, onion, flour, thyme, bay leaf, and ½ cup water. Place the chicken on top; season with 1 teaspoon salt and ¼ teaspoon pepper.
2. Cover and cook until the chicken and vegetables are tender, on low for 7 to 8 hours or on high for 4 to 5 hours (this will shorten total recipe time).
3. Thirty minutes before serving, heat oven to 425° F. Using a 4½-inch cutter or large glass, cut the pastry into 4 circles. Place on a baking sheet and bake until golden, 8 to 10 minutes.
4. Ten minutes before serving, add the peas, green beans, cream, and ½ teaspoon salt to the chicken mixture and stir to combine. Cover and cook on high or low until heated through, 5 to 10 minutes more. To serve, place the chicken mixture in bowls and top with the pastry rounds.
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