Combine water and cornstarch in a cup; set aside. Combine 1 tablespoon wine, 1 tablespoon soy sauce, 1 tablespoon sesame oil, and 1 tablespoon cornstarch/water mixture in a large glass bowl. Add chicken pieces and toss to coat. Cover the dish and refrigerate for about 30 minutes. Combine remaining 1 tablespoon wine, 1 tablespoon soy sauce, 1 tablespoon sesame oil, and remaining cornstarch/water mixture in a medium bowl. Whisk in chili paste, brown sugar, and vinegar. Add water chestnuts, peanuts, green onions, and garlic and toss to coat. Transfer water chestnut mixture to a medium skillet. Heat slowly over medium heat until aromatic. Meanwhile, transfer chicken from marinade into a large skillet;