Step 1: Heat vegetable oil in a large oven-proof skillet or Dutch oven over medium heat. Add chopped turkey bacon; cook until edges crisp, about 3 minutes. Remove bacon and set aside, leaving rendered fat in the pan.
Step 2: Add sliced sausage to the skillet; brown all sides, stirring occasionally for 4–5 minutes. Remove sausage and set aside with the bacon.
Step 3: If using, stir in diced chicken ham into the skillet, then add the finely chopped yellow onion. Sauté until translucent, about 4 minutes.
Step 4: Add minced garlic; cook for 30 seconds until fragrant, being careful not to burn it.
Step 5: Stir in tomato paste, cooking constantly for 1 minute to caramelize and deepen the flavor.
Step 6: Return the cooked bacon and sausage to the skillet. Pour in the baked beans and ketchup.
Step 7: Sprinkle in brown sugar, Worcestershire sauce, smoked paprika, and optional chili powder. Gently stir to distribute spices evenly.
Step 8: Season with salt and freshly ground black pepper to taste. Ensure all ingredients are well combined.
Step 9: Preheat oven to 350°F (175°C). Transfer the skillet (or cover Dutch oven) to the preheated oven; bake for 20–25 minutes, or until the surface is bubbly and the edges are slightly thickened.
Step 10: Remove from oven and let rest for 5 minutes before serving to allow the flavors to meld and the sauce to set. Garnish with chopped fresh parsley or scallions if desired.