Steps

1. Preheat oven to 350˚F. Cook pasta according to package directions; drain reserving 1/4 cup pasta water. Coat a 9x13-inch baking dish with non-sticking cooking spray.
2. Cook onions, green bell and red peppers for 3 to 5 minutes or until tender. 
3. Whisk in heavy cream. Increase heat and bring to a boil, stirring constantly. Reduce heat to medium-low. Cook, stirring frequently, for 2 minutes or until thickened slightly. Stir in salt and pepper. Reduce heat to low. Add 3/4 cup Cheddar, 3/4 cup Gruyere, 2 tablespoons goat cheese, all the brie and 2 tablespoons Parmesan. Stir until melted.
4. Add pasta and transfer to prepared baking dish. Sprinkle with remaining cheeses.
5. Bake for 15 to 20 minutes or until golden brown and bubbling.