Caesar Salad with Garlicky Croutons

Name: Caesar Salad with Garlicky Croutons
Ingredients: 1/2 cup olive oil; 6 garlic cloves, smashed; 3 cups cubed baguette (from 1 [5-oz.] baguette); 1 ounce Parmesan cheese, grated (about ¼ cup); 1/2 teaspoon kosher salt; 1/4 teaspoon black pepper; 1 1/2 cups vegetable oil; 1/4 cup large capers, rinsed and drained, patted dry; 2 1/2 tablespoons red wine vinegar; 2 1/2 tablespoons fresh lemon juice (from 1 lemon); 2 tablespoons water; 1 teaspoon Dijon mustard; 3/4 teaspoon kosher salt; 6 anchovy fillets; 2 garlic cloves, smashed; 1 large egg yolk; 3/4 cup pure olive oil; 1 teaspoon black pepper; 2 ounces Parmigiano-Reggiano cheese, grated (about ½ cup), divided; 2 romaine lettuce hearts (about 1 lb.), leaves separated; 2 ounces Parmigiano-Reggiano cheese, shaved (about ½ cup)