Preheat the oven to In a large pot set over medium-high heat, add the olive oil, onion, and chicken. Season with salt and pepper. Cook until lightly seared all over, about 10 minutes. Stir in the chili powder, paprika, and garlic powder, cook for another minute.Add the pasta and broccoli. Mix gently, then pour over 1/2 cup water and the milk. Add the ketchup and stir to combine. Season with salt.Bring to a gentle boil over medium-high heat. Simmer for 5 minutes until the pasta is al dente, stirring often. Stir in the jalapeños, salsa, hot sauce, and butter. Stir in the 1 1/2-2 cups cheese. Cook another few minutes until very creamy. Remove from the heat, top with 1/2 cup cheese. Bake at 425 for 5-10 minutes, until the cheese is melted. Divide the pasta among bowls and top with green onions and cilantro.