Creamy White Chicken Chili with Salsa Verde

Name: Creamy White Chicken Chili with Salsa Verde
Ingredients: 1 (8 ounce) package cream cheese, softened; 0.5 cup half-and-half; 1 tablespoon olive oil; 2 medium green bell peppers, chopped; 2 medium jalapeno peppers, diced; 3 cloves garlic, chopped; 1 (2 pound) rotisserie chicken, skinned and boned, meat pulled into large chunks; 1 tablespoon dried minced shallots; 0.25 teaspoon cayenne pepper; salt and ground black pepper to taste; 8 cups chicken stock; 1 (16 ounce) jar salsa verde; 1 tablespoon ground cumin; 2 teaspoons dried oregano