Set the Instant Pot to sauté mode and heat olive oil. Sear beef chunks evenly on all sides until browned. Remove and set aside.
In a blender, combine chipotle peppers, adobo sauce, garlic, cumin, oregano, smoked paprika, ground cloves, beef broth, lime juice, apple cider vinegar, salt, and black pepper. Blend until smooth.
Return seared beef to the Instant Pot. Pour the blended sauce over the beef and add bay leaves.
Seal the Instant Pot lid and cook on high pressure for 60 minutes. Let natural pressure release for 15 minutes, then manually release remaining pressure.
Remove bay leaves. Shred the beef inside the pot using two forks and let it sit in the juices for 5 to 10 minutes to enhance flavor.
Warm tortillas in a skillet. Assemble tacos by filling with shredded beef, then topping with crumbled cheese, chopped cilantro, thin radish slices, and a squeeze of fresh lime.