First, start the birria meat. Pat the meat dry and liberally season with salt. Sear the meat on both sides. Then add it to your slow cooker.
In a blender or large food processor, add half the onion, garlic, chipotle peppers and adobo sauce, diced tomatoes, cumin, paprika, pepper, brown sugar, oregano, cloves, cayenne, lime juice and 1 cup of beef stock. Blend into a thick sauce.
Pour this sauce over the meat in a slow cooker. Add another cup of beef stock, so the meat is covered. Add the bay leaves and cinnamon stick. Cook on low for 8 hours.
Remove the bay leaves and cinnamon stick. Reserve the stew but remove the meat to a cutting board and shred with two forks. Yes, it should be so tender you can easily shred with forks.
For the pizza dough, measure out the warm water and stir the sugar, if using, into it. Sprinkle the yeast over the top of the water and allow to activate for a few minutes. It should look foamy.
In a medium to large mixing bowl, add the flour, salt and olive oil. Pour in the yeast water and stir until a loose dough ball forms. Lightly flour a surface and your (clean) hands and knead the dough for a couple minutes until it begins to feel almost elastic-like in your hands.
Add just a little more oil to the bowl, coating the sides, and place the dough ball back in the bowl. Cover with a kitchen towel. Allow to rise until it’s nearly doubled in size, about 45 minutes to an hour.
On a lightly floured surface, roll out the dough to a circle. If you want to try tossing it in the air like they do in the movies, feel free, but I usually just use a rolling pin. Place on a lightly floured baking sheet.
Brush with the stew from the slow cooker and then add the shredded beef and cheese. Bake at 400°F (204°C) for 15-16 minutes. Top with chopped onion and cilantro.