Preheat your smoker to 350°F (177°C). Use your Square DOT to monitor pit temp or, if using Smoke X, attach it to your Billows BBQ control fan and set up the air probe. Set the fan temp for 350°F (177°C) Heat a dry heavy-bottomed skillet over medium-high heat. Toast the chilies in the skillet until they become pliable, fragrant, and mottled with dark spots.
Add the stock to the skillet with the chilies. It will boil immediately. Pour the stock and the chilies into a bowl and allow to soak. Wipe out the pan.
Ancho chilies are easier to de-stem after they are toasted.
Add the oil to the pan and heat over medium-high. Add the cumin, oregano, and achiote. Cook them until they are aromatic but do not let them brown, about 30 seconds. Add the chipotle chilies and the adobo sauce and cook another 30 seconds.
Add the vinegar, sugar, and salt and remove the pan from heat.
Place the chilies, their soaking liquid, the chipotle/spice paste, and the garlic cloves in a blender. Blend until very smooth, adding a little more water or stock if necessary to loosen the mixture.
Once blended, allow the mixture to cool.
In a large bowl, mix the sliced pork with the marinade, tossing to coat each piece.