Peruvian Chicken Stew

Name: Peruvian Chicken Stew
Ingredients: 1⁄4 cup extra-virgin olive oil; 1 tbsp. apple cider vinegar; 2 tsp. ground turmeric; 1 tsp. ground cumin; 10 fresh or thawed frozen ají amarillo or fresno peppers (about 1⁄2 lb.), stemmed, seeded, and roughly chopped; 16 cloves garlic (whole), plus 4 cloves finely chopped; Kosher salt, to taste; 1 (4-lb.) chicken, cut into 10 pieces; 1 medium red onion, finely chopped; 1⁄4 cup finely chopped cilantro; 4 plum tomatoes, chopped; 1⁄4 cup pisco or white rum; 2 medium new potatoes (about 1 lb.), peeled and quartered; 1 1⁄2 cups chicken broth; 2 cups steamed long-grain white rice, for serving