In a large skillet over medium heat, cook the ground beef until most of the pink has browned, about 5-6 minutes. Use a wooden spoon to break up any clumps while it cooks. Drain excess fat, if you like.
Add the ketchup, sweetener, mustard, barbecue sauce, vinegar, and salt to the skillet. Stir well to combine everything evenly.
Reduce the heat to low, cover, and simmer for 10 minutes.
If the mixture is too watery, let it simmer uncovered for a few minutes. If it's too thick, add a tablespoon or two of water and stir well.
When it's done cooking, turn off the heat and let the dish rest in the skillet for 1-2 minutes before serving.