Peruvian Chicken

Name: Peruvian Chicken
Prep time: 30 min
Total time: 30 min
Cuisine: American, Latin American
Ingredients: 1/2 cup beer (preferably a pilsner or an ale); 4 cloves garlic, minced; 2 tablespoons fresh lime juice; 2 tablespoons canola oil; 2 teaspoons kosher salt; 2 teaspoons ground paprika; 1 teaspoon cumin; 3/4 teaspoon dried oregano, preferably Mexican; 1/2 teaspoon freshly ground pepper; One (3 1/2-pound) whole chicken, cut into pieces; 2 fresh jalapenos, including seeds and ribs, roughly chopped; 1 tablespoon aji amarillo paste (or substitute 1 jalapeño); 1 cup cilantro leaves, roughly chopped; 2 tablespoons cotija cheese or Parmesan cheese, grated (optional); 1 medium clove garlic, minced; 1 tablespoon vegetable oil; 1 teaspoon white vinegar; 1/2 teaspoon lime juice; 1/3 cup store bought or homemade mayonnaise; Kosher salt and freshly ground black pepper