
Add ground beef to a large pot over medium-high heat. Pour in 1 cup of the water/broth. Cook, stirring constantly and breaking the beef up into very fine crumbles with a spoon or potato masher, until no longer pink (6-8 minutes).
Stir in tomato paste and cook 1 minute. Add tomato sauce, ketchup, Worcestershire, brown sugar, chili powder, cumin, paprika, salt, pepper, and optional heat upgrades (cayenne, hot sauce). Stir until well combined.
Add the remaining 1/2 cup water/broth (or enough to make it loose but not soupy). Bring to a simmer, then reduce heat to low and simmer 25-35 minutes, stirring occasionally. Add splashes of liquid if it tightens up too much before the flavors meld.
To thicken, sprinkle in 1 tablespoon cornmeal, stir well, simmer 5 minutes. Add another tablespoon if needed.
Mash again at the end, or pulse with an immersion blender 2-3 quick times for extra-smooth chili sauce.
Taste and adjust salt, sweetness, and heat. Serve hot.
Spoon over hot dogs in buns. Top with diced onion, shredded cheddar, and/or yellow mustard for a coney-style vibe.