Cube Steak Milanese

Name: Cube Steak Milanese
Ingredients: 2 tablespoons minced fresh parsley, (optional); 1/2 teaspoon freshly ground pepper, divided; 3/4 cup thinly sliced fresh basil leaves; 1 pound cube steak, cut into 4 portions; 4 cups baby arugula, chopped; 1/2 teaspoon salt, divided; 1/2 cup diced red onion; 4 plum tomatoes, seeded and chopped; 1/2 cup plain dry breadcrumbs; 1 tablespoon fresh lemon juice, plus lemon wedges for garnish; 1/4 cup grated Pecorino Romano, or Parmesan cheese plus 1/4 cup shaved (see Tip), divided; 6 teaspoons extra-virgin olive oil, divided; 1 egg, plus 1 egg white