01 - Preheat your oven to 425°F. Pat the lamb racks dry and season all over with salt and pepper.
02 - In a small bowl, combine the garlic, rosemary, thyme, parsley, Dijon mustard, and 2 tbsp olive oil to form a paste.
03 - Rub the garlic herb mixture all over the meaty side of the lamb racks.
04 - Heat 2 tbsp olive oil in a large oven-safe skillet over medium-high heat. Sear the lamb racks, fat side down, for 2-3 minutes until browned. Flip and sear the other side for 1 minute.
05 - Transfer the skillet to the oven and roast for 15-18 minutes for medium-rare (internal temp 130°F), or longer for desired doneness.
06 - Remove from the oven, cover loosely with foil, and let rest for 10 minutes before slicing into individual chops.
07 - In a bowl, dissolve the sugar in the hot water. Stir in the vinegar, chopped mint, parsley, and a pinch of salt. Let sit for 10 minutes to let flavors meld.
08 - Serve sliced lamb with mint sauce on the side.