PREPARE THE BROCCOLI: In a large bowl, evenly coat the broccoli with the plant-based milk. Set aside.
In another large bowl, combine the cornstarch, ramen seasoning, and salt. Set aside.
START THE SAUCE: In a small bowl, whisk together the soy sauces, gochujang, mustard, brown rice syrup, cornstarch, and 2 tablespoons of water.
Heat a deep cast-iron pan, Dutch oven, or other sturdy pot filled with at least 4 inches of vegetable oil to 350°F (see Note). While you are waiting for the oil to heat, dredge a few chunks of broccoli in the seasoned cornstarch mixture. Make sure that each chunk is thickly coated so that the broccoli is super dry.
Carefully drop the dredged broccoli in the hot oil. Working in batches to avoid overcrowding the pan, fry the broccoli until the edges begin to brown, approximately 3 to 5 minutes. Transfer the broccoli to a cooling rack to drain the excess oil. Repeat until all the broccoli has been fried, then refry a second time for 1 minute for extra crunch (this time there is no need to worry about overcrowding the pan).
In a small skillet, heat the olive oil over medium- high heat until shimmering, about 1 minute. Add the scallion whites, garlic, and carrots and cook until the garlic is fragrant, about 1 minute. Add the soy sauce mixture and stir immediately with a wooden spoon. The sauce should thicken in 1 to 2 minutes. Once the sauce is thick, remove the pan from the heat and pour the sauce over the fried broccoli, tossing until the broccoli is evenly coated. Garnish with the sesame seeds and scallion greens and enjoy, or store the broccoli in the refrigerator for up to 3 days.