Let’s get cooking! Follow these steps to bring this savory delight to your table:

1. Preheat your oven to 375°F. This gives you just the right heat to meld all the flavors together beautifully.
2. In a large skillet, heat 1 tablespoon of olive oil over medium heat. Add the chicken pieces and cook until browned and cooked through, about 5-7 minutes. Remove and set aside.
3. Add the remaining olive oil to the skillet. Sauté the onion and garlic until fragrant and translucent, about 3 minutes.
4. Stir in the mixed vegetables and cook for another 2-3 minutes. If using fresh veggies, you might need to extend the cooking time slightly.
5. Sprinkle the flour over the vegetable mixture, stirring to coat evenly. Slowly pour in the chicken broth and milk, whisking continuously to avoid lumps.
6. Return the chicken to the skillet, and add the thyme, salt, and pepper. Stir until the mixture thickens, about 5 minutes.
7. Transfer the mixture to a greased baking dish and bake in the preheated oven for 20 minutes, until the top is golden and bubbly.

Remember, cooking times can vary based on your oven, so keep an eye on that beautiful golden top!