While the dough rises, heat a 12-inch cast iron skillet over medium heat for 2 minutes. Add the vegetable oil followed by the onion, green pepper, 1 teaspoon of the salt, and 1/2 teaspoon of the pepper. Cook, stirring frequently for 4 minutes. Add the garlic and cook another minute. Add the ground chuck, the remaining salt and pepper, ancho chili powder, cumin, onion powder, mustard powder, and brown sugar. Cook just until the beef loses its pink color, 2-3 minutes.
Momentarily kill the heat, tip the pan keeping the meat to one side and spoon off and discard as much fat as possible. Set the heat to medium-low and add the yellow mustard, ketchup, tomato paste, malt vinegar, Worcestershire, and liquid smoke. Simmer, stirring occasionally, for 4 minutes, then remove the skillet from the heat so the mixture can cool.