Chicken Alfredo Pizza

Name: Chicken Alfredo Pizza
Ingredients: 2 cloves garlic; 1/2 tablespoon unsalted butter; Pinch red pepper flakes, plus more for sprinkling; 1 1/2 cups heavy cream; 1 1/4 ounces grated Parmesan cheese (1/2 cup); Kosher salt; Freshly ground black pepper; 1 pound homemade or store-bought pizza dough; 12 ounces cooked chicken breast (about 2 rotisserie chicken breasts); 1/2 small bunch fresh chives; 6 ounces shredded low-moisture mozzarella cheese (1 1/2 cups); All-purpose flour, for dusting