Place 3 cups of water, 1/2 cup of salt, 1/2 cup of brown sugar, and the pork chops (4) in a gallon-sized resealable bag. Leave the pork chops in the brine for at least 30 minutes, or overnight.
Remove the pork chops from the brine and place them on a paper-towel-covered baking sheet. Use a paper towel to dry the pork chops completely. Using a sharp knife, cut 2-4 slits into the fat in 1 to 2-inch increments—only cutting the fat and not the meat.
Mix 1 teaspoon of salt, paprika (1 teaspoon), and black pepper (1 teaspoon) in a small bowl. Rub both sides of the pork with the mixture.
Add avocado oil (1-2 tablespoons) to a skillet; a cast-iron skillet is preferred. Heat the skillet on high heat until the oil is smoking hot and you can see ripples in the oil (and maybe whisps of smoke), at least 450°F (232ºC). Turn the skillet down slightly to medium-high heat and add the pork chops. Sear the meat without moving it for 4-6 minutes. As soon as the meat releases from the pan and can be turned, flip the pork chops to the second side. Sear on the second side for only 1-2 minutes, until it starts to sear.
Turn off the heat and remove the meat from the pan. Place it on a dish for a moment while you use a paper towel to dab out the excess oil, leaving the cooked bits on the skillet. While the skillet is on medium-high heat, replace the pork chops (browned side and add the apple cider vinegar (1/2 cup), 1 cup of water, 6 tablespoons of brown sugar, garlic (2 teaspoons), and bay leaves (2) around the meat. Poach the pork chops over medium to medium-high heat, simmering until they reach an internal temperature of 145°F, approximately 30-40 minutes.
Remove pork chops, place them in a container, and cover with aluminum foil. Allow to rest for at least 5 minutes. Remove the bay leaves and mix 1 tablespoon of cornstarch (more or less, depending on the desired thickness) with a little water. Add to the sauce. Cook, stirring constantly for a couple of minutes, until it thickens. Dip the rested pork chops in the sauce, place brownedside up, and serve.