Now that the pork is done marinating, take it out of the bag and pat it mostly dry. Add the leftover marinade to the saved brine and set aside.
Place an enameled Dutch oven on your stove top and turn the heat to medium high. Once the pot is hot, sear each side of the meat. After searing, put the pork on a plate or tray.
Deglaze the Dutch oven with some of the mixed marinade and brine liquid and a wooden spoon or turner. After the bottom of the pot is clean, pour in the rest of the marinade and brine liquid. Then add in the rest of the braising liquid ingredients and bring everything to a very low simmer.
Add in the seared pork shoulder. The liquid should be between halfway and three-quarters of the way up the side of the meat. Cover the pot, but make sure to place the lid slightly ajar. Braise the pork in the oven for 4-6 hours, flipping it over around 2.5 hours into the cooking time. The entire shoulder should be fork tender when it's done. When ready, take the pork out of the oven, remove the lid, and let the meat cool down in the braising liquid to maintain moisture.