Heat olive oil in a large pot over medium-high heat. Press ground beef into the hot oil to form one large patty; let the bottom brown, 8 to 10 minutes. Stir and break the ground beef into crumbles and cook until no longer pink, about 5 more minutes.
Stir celery, onion, and green bell pepper into ground beef and cook until onion is translucent, about 5 minutes; pour in stewed tomatoes, diced tomatoes with green chiles, tomato sauce, and water. Break apart large chunks of stewed tomatoes. Stir in chili seasoning.
Mix kidney beans and pinto beans into chili, season with salt and black pepper, and bring to a boil. Reduce heat to low and simmer for 1 hour. Mix vinegar into chili.
To adjust the heat, feel free to add cayenne pepper. The real chili has more beans in it, so you could just double the amount above.
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