Cook and stir ground beef, onion, and garlic in a large pot over medium heat until beef is crumbly and no longer pink and onion is tender. Drain excess fat. Season ground beef mixture with chili powder, cumin, and basil; cook and stir over medium heat until ground beef is evenly coated and spices are toasted.

Stir in tomatoes, tomato sauce, beer, chile peppers, and vinegar; bring to a boil while scraping the brown bits of food off the bottom of the pan. Stir in brown sugar, salt, hot pepper sauce, and black pepper.

Reduce heat to low, cover the pan, and simmer for 3 hours, removing the lid for the last 30 minutes of cooking.