Place the beef chunks into the inner pot of your Instant Pot.
In a separate bowl, whisk together the beef broth, apple cider vinegar, lime juice, chili powder, cumin, oregano, salt, pepper, minced garlic, minced chipotle peppers, adobo sauce, and bay leaf.
Pour the liquid mixture over the beef in the Instant Pot.
Secure the lid and set the vent to sealing.
Select Manual or Pressure Cook on High for 60 minutes.
When cooking finishes, allow a Natural Pressure Release (NPR) for 15 minutes, then carefully move the valve to venting to release any remaining pressure.
Remove the bay leaf. Shred the beef using two forks directly in the pot, mixing it with the cooking liquid.