Combine 2 tablespoons olive oil, lemon juice, thyme, 1/4 teaspoon salt, pepper, and red pepper in a large bowl. Add the chicken or turkey and toss. Marinate 15 minutes.
Drain the meat and pat very dry. Heat a wok or large skillet over high heat. Add the remaining 2 tablespoons oil to the pan. Add the chicken and stir-fry until opaque and firm, about 4 minutes. Use a slotted spoon to transfer to a large bowl. Add the onion and pepper to the pan and stir-fry, until softened, 1 to 2 minutes. Add to the chicken. Add the squash to the pan, and stir-fry until tender-crisp, about 2 minutes. Add to the chicken. Add the tomatoes and garlic to the pan and stir-fry until glazed and slightly charred, about 2 minutes longer. Return the chicken and vegetables to the pan. Season with salt and pepper. Heat until warmed through, about 2 minutes. Add the basil and toss to combine. Serve with rice.
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