Preheat your oven to 300°F and prepare a baking dish with a tight-fitting lid or aluminum foil.
In a small bowl, combine the smoked paprika, garlic powder, onion powder, sea salt, and black pepper to create a dry rub.
Thoroughly coat the beef brisket with the spice rub on all sides, pressing the seasoning into the meat.
Place the brisket in the baking dish, cover tightly, and roast for 3 to 4 hours until the meat is tender and easily pierced with a fork.
While the brisket rests, whisk together the tomato paste, apple cider vinegar, and coconut aminos in a small saucepan over low heat until smooth.
Toss the halved Brussels sprouts with olive oil and roast at 400°F for 20 minutes on a separate tray until the edges are crispy and golden.
Brush the prepared BBQ glaze over the brisket and broil for 2-3 minutes until the surface is caramelized and bubbly.
Slice the brisket against the grain into thin strips and serve immediately alongside the roasted Brussels sprouts.