Preheat the oven to 375°F (190°C) and lightly grease a baking dish measuring about 9 × 13 inches (23 × 33 cm) with oil.
Arrange the dry spaghetti directly in the baking dish, spreading it out evenly.
Add the extra virgin olive oil, whole garlic cloves, oregano, salt, black pepper, onion, and bell peppers.
Pour over the marinara sauce, diced tomatoes with their liquid, and about 2 3/4 cups (650 ml) of the chicken broth.
Gently mix everything directly in the baking dish, distributing the vegetables evenly and making sure the spaghetti is as submerged in the liquid as possible.
Cover the baking dish tightly with aluminum foil, sealing the edges well.
Bake in the preheated oven at 375°F (190°C) for about 30-35 minutes.
After 35 minutes, remove the baking dish from the oven and take off the foil.
Remove the garlic cloves and gently stir the spaghetti, separating any strands that may have stuck together.
Check the texture of the pasta and sauce. The spaghetti should be almost al dente and there should still be enough sauce in the bottom of the dish to keep the pasta creamy. If the pasta is still too firm or the sauce looks too dry, gradually add some of the remaining 3 tablespoons plus 1 teaspoon (50 ml) of chicken broth.
Place the Greek yogurt in a bowl and add 2-3 tablespoons of the hot sauce from the baking dish. Stir until smooth and evenly combined.
Add the yogurt mixture to the baking dish, then add the cooked chicken and 4.2 oz (120 g) of the mozzarella.
Gently stir until the chicken, yogurt, and cheese are evenly distributed and the spaghetti is coated in a creamy sauce.
Level the surface and sprinkle the remaining 3.5 oz (100 g) of mozzarella over the top.
Return the baking dish to the oven, uncovered, and bake for about 10 more minutes, until the mozzarella is fully melted and the sauce begins to gently bubble around the edges.
Remove from the oven and let rest for about 5 minutes, allowing the sauce to settle slightly.
Finish with freshly chopped parsley and serve hot.