Prepare the Sauce: In a food processor, combine olive oil, tomato paste, tamari, honey, apple cider vinegar, pickled ginger, chipotle chiles, smoked paprika, thyme, salt, and pepper. Blend until smooth for about 1-2 minutes.
Insert the Roast: Place the beef chuck roast in the slow cooker, pour the sauce over it, add fresh pineapple chunks and water to submerge the roast.
Set the Temperature: Cover and cook on LOW for 5-6 hours or HIGH for 3-4 hours until the beef is fork-tender.
Make the Salsa: Mix chopped pineapple, diced avocado, minced jalapeño, chopped cilantro, and lime juice in a bowl and set aside.
Prepare the Bang Bang Sauce: Whisk together mayonnaise, sweet Thai chili sauce, tamari, minced garlic, and lime zest until well combined.
Shred the Beef: Remove the roast from the Crockpot, shred with two forks, and allow some cooking juices to cling to the meat.
Assemble the Bowls: Serve shredded beef over cooked rice topped with pineapple salsa and a drizzle of bang bang sauce.
