Crispy Prosciutto Chicken Cutlets with Snap Pea Slaw

Name: Crispy Prosciutto Chicken Cutlets with Snap Pea Slaw
Ingredients: 2 small (8- to 9-ounce) boneless, skinless chicken breasts; 1 teaspoon kosher salt, divided; 1/2 teaspoon black pepper, divided; 1/4 cup all-purpose flour; 2 large eggs, lightly beaten; 1 1/4 cups panko; 1/2 teaspoon garlic powder; 2 ounces grated Parmigiano-Reggiano cheese (about 1/2 cup); 1/3 cup plus 2 tablespoons neutral cooking oil (such as canola oil), divided; 12 thin slices prosciutto; 2 tablespoons extra-virgin olive oil; 1 1/2 teaspoons grated lemon zest; 2 tablespoons fresh juice; 1/4 teaspoon kosher salt; 1/4 teaspoon black pepper; 8 ounces fresh sugar snap peas, thinly sliced lengthwise (about 3 cups); 1 small shallot, thinly sliced (about 1/4 cup); 3/4 ounce grated Parmigiano-Reggiano cheese (about 3 tablespoons); 3 tablespoons finely chopped mixed fresh tender herbs (such as basil, flat-leaf parsley, and chives)