1. Preheat the Oven and Prepare the Dish: Begin by preheating your oven to 375 F (190 C). Lightly grease an 8×8 inch baking dish or a similar-sized oven-safe dish with cooking spray. This prevents the dip from sticking and makes cleanup easier.

2. Combine Creamy Ingredients: In a large mixing bowl, add the softened cream cheese, buffalo wing sauce, and ranch dressing. Use a spatula or an electric mixer on low speed to beat these ingredients together until they are smooth and well combined. The mixture should be creamy and uniformly orange in color.

3. Mix in the Chicken and Cheese: Add the shredded cooked chicken, shredded cheddar cheese, and half of the shredded mozzarella cheese (reserving the other half for the topping) to the creamy mixture. Stir everything together until the chicken and cheeses are evenly coated with the buffalo cream cheese mixture.

4. Spread into Baking Dish: Transfer the entire chicken dip mixture into your prepared baking dish. Use the back of a spoon or a spatula to spread it out evenly, creating a smooth, consistent layer across the bottom of the dish.

5. Add the Top Layers: Sprinkle the remaining half of the shredded mozzarella cheese evenly over the top of the chicken mixture. Then, scatter half of the blue cheese crumbles over the mozzarella layer. These layers will melt beautifully and create a cheesy crust.

6. Bake Until Bubbly and Golden: Place the baking dish in the preheated oven. Bake for 20-25 minutes, or until the dip is hot and bubbly around the edges, and the cheese on top is melted and lightly golden brown. You should see little pockets of melted cheese and a slight crust forming.

7. Garnish and Serve Hot: Once baked, carefully remove the dip from the oven. Immediately sprinkle the remaining blue cheese crumbles over the hot dip. The residual heat will slightly soften them. Let it cool for a few minutes before serving to prevent burns, then serve hot with your favorite dippers.