Dice the chicken breast into small, bite-sized pieces to ensure even cooking and maximum surface area for seasoning.
In a small bowl, combine the chili powder, cumin, garlic powder, sea salt, and black pepper, then toss the chicken in the spice blend until thoroughly coated.
Heat the olive oil in a large skillet over medium-high heat and add the chicken, cooking for 5-7 minutes until the edges are golden brown and crispy.
While the chicken cooks, toss the shredded cabbage with half of the lime juice in a bowl to create a quick, bright slaw.
Warm the corn tortillas in a dry pan for 30 seconds per side until pliable and slightly charred.
Assemble the tacos by layering the crispy chicken, cabbage slaw, sliced avocado, and thinly sliced radishes, finishing with a squeeze of lime and fresh cilantro.