Brussels Sprouts Caesar Salad

Name: Brussels Sprouts Caesar Salad
Ingredients: 4 slices country bread, cut into roughly 1/2-inch cubes (about 3 cups); 3 tbsp. extra-virgin olive oil; 4 anchovy fillets, packed in oil and drained; 1 large egg yolk; 2 tbsp. freshly squeezed lemon juice; 1 tsp. Dijon mustard; 1 small clove garlic; 1/2 c. extra-virgin olive oil; Kosher salt; Freshly ground black pepper; 1 1/2 lb. brussels sprouts, shredded; 1/2 c. packed fresh parsley leaves, roughly chopped; 1/4 c. freshly chopped chives; 1/3 c. freshly grated Parmesan, plus more for serving