Preheat oven to 385 degrees. Place an oven-safe skillet on a stove top burner and turn heat up to medium-high.
While the pan and oven heat up-- Add and mix all of your spices for the chicken in a small bowl. Rub 1-tsp olive oil on all sides of both chicken breasts then rub your spice mix on all sides of the chicken until covered.
Add 1 tsp olive oil to the now hot skillet and add both chicken breasts. Cook until both sides are browned to your liking (note, the chicken won't be cooked all the way through, it'll finish cooking in the oven.
While the chicken cooks, mince and dice all veggies (and juice the lemon) for the succotash and set aside.
Once the outside of the chicken is browned, move the skillet to the oven and cook for 10 minutes at 385 degrees.
As the chicken cooks, bring another large skillet to medium-high heat and add 1 tbsp olive oil. Add shallot, corn and bell pepper and saute for 2-3 minutes. Add in tomatoes and avocado and cook for an additional 3-5 minutes or until veggies have softened. Season with salt and pepper than add lemon juice. Cook for an additional minute stirring constantly then remove from heat.
Your chicken and succotash should be done. Set them aside to cool. In a regular bowl-- mix mayo, lemon juice, garlic, salt, pepper, and cayenne until everything is mixed and consistent.
Plate the chicken over the succotash and drizzle aioli over top of the chicken.