In a large dutch oven (we use a 7.5 quart) over medium heat, add olive oil and the dried chiles. Sauté the chiles for 6 - 8 minutes until you smell the aroma of the toasting chiles.
Remove the stems from the chiles (and discard) and place the remaining chiles into a blender with 1 cup of water.
Puree for 1 minute or until the texture of the paste is smooth.
Make the Texas Chili
Season Beef: Season the beef cubes with 1 tablespoon olive oil and beef rub.
Sear Beef: Add 1 tablespoon of olive oil to the same large pot the chiles were roasting in over medium heat. In two batches add the cubed chuck meat (no need to add more olive oil in between batches). Stir the beef to brown the sides. Remove the beef and set aside for later.
Soften Vegetables: Add remaining 1 tablespoon olive oil over medium heat, and add the onions and cook about 6 minutes while stirring often (just to soften the onions). Add the garlic and cook for 1 additional minute.
Add Beef and Beer: Return the beef to the pot and then add the beer. Stir for 1 minute.
Simmer: Add the reserved chili paste, beef stock, salt, and stir to incorporate. Bring the chili to a low simmer and continue simmering uncovered for 2 - 3 hours stirring occasionally. The chili is done when the beef has become fork tender, almost falling apart AND the liquids have reduced. This will take between 2 and 3 hours.
Add Masa Flour: Once the beef is done and liquid has reduced, add the masa flour and stir. Turn off the heat and continue stirring. The chili will thicken.
Serve: Serve with your favorite toppings.
Video
Notes
Based on your preferences, this is our recommendation of blends for a Mild Chili vs a Spicy Chili assuming 3-ounces total weight. The recipe as written is for a spicy chili.
MediumHeat – Little Heat, minor acidity on the finish. Use one 3-ounce package of Guajillo.
Mild Heat Chili Blend – Moderate heat and acidity on the finish. Use 7 Red Chilies and 5 Passilas.
Spicy Heat Chili Blend – Spicy up front, spicy finish, high acidity. Use 1 loose cup of Chile de Arbol, 3 Passillas, and 4 Guajillo.
If reheating leftovers add 1/4 cup of water to the chili before reheating on a low simmer in a small sauce pan.