Begin by placing the shrimp on a plate or cutting board and thoroughly pat them dry with paper towels. This will help ensure a nice sear when cooking.
In a mixing bowl, combine the shrimp with the minced garlic, chili powder, ground cumin, sea salt, and freshly ground black pepper. Use your hands or a spoon to toss everything together until the shrimp are evenly coated with the seasonings.
Heat the extra virgin olive oil in a large skillet over medium-high heat. When the oil is shimmering and hot, add the seasoned shrimp in a single layer to the skillet, being careful not to overcrowd the pan.
Sauté the shrimp for 1-2 minutes on each side, or until they are fully cooked, turning pink and opaque. Keep an eye on them to avoid overcooking, which can make them tough.
While the shrimp are cooking, take the corn tortillas and warm them in a separate skillet or on a preheated grill. Heat each tortilla for about 30 seconds on each side, or until they become soft and pliable.
To assemble the tacos, take a warm tortilla and add a generous scoop of the shredded red cabbage as the base. Follow this with a heap of the garlic shrimp and top it off with a few slices of creamy avocado.
For the finishing touch, sprinkle fresh cilantro leaves over the top and drizzle with a squeeze of lime juice to brighten the flavors. Serve lime wedges alongside for an extra zesty kick.