Place the tea bags, sugar, and baking soda in a very large heatproof bowl or pot. Pour the boiling water over the top, cover, and steep for 15 minutes. Remove the tea bags and discard. Stir in the salt, peppercorns, lemon juice, garlic cloves, oregano, thyme, and cold water and allow the brine to cool to room temperature. Once cooled, add the chicken pieces, cover, and refrigerate 12 hours.