Garlic Parmesan Chicken Wings

Name: Garlic Parmesan Chicken Wings
Prep time: 20 min
Cook time: 35 min
Total time: 55 min
Cuisine: American
Ingredients: cooking spray; 3 quarts cold water; 0.33333334326744 cup balsamic vinegar; 0.25 cup salt; 1 bay leaf; 1 teaspoon dried thyme; 1 teaspoon dried oregano; 1 teaspoon dried rosemary; 8 cloves garlic, minced; 1 pinch salt; 3 tablespoons olive oil, or as needed; 1 tablespoon freshly ground black pepper; 2 teaspoons red pepper flakes, or to taste; 4 pounds chicken wings, separated at joints, tips discarded; 2 tablespoons fine bread crumbs; 1 cup finely grated Parmigiano-Reggiano cheese, divided