Preheat the oven to 350°F. Arrange the 3 pounds of chicken wings (tips removed and split at the joint) in a single layer in a large, shallow baking pan.
In a medium saucepan, combine 1 cup low-sodium soy sauce, 2/3 cup water, 1 cup brown sugar, 2 tablespoons dry mustard, 1 tablespoon ground or fresh grated ginger, and 3 minced garlic cloves. Stir to combine.
Bring the mixture to a boil over medium heat, stirring until the brown sugar is dissolved, then remove the pan from the heat.
Pour the sauce evenly over the wings in the baking pan, turning the wings as needed so they are well coated.
Bake the wings, uncovered, in the preheated 350°F oven for 1 hour and 30 minutes, turning the wings once halfway through the baking time (after about 45 minutes).
When the baking time is complete, transfer the wings to a broiler pan and position an oven rack about 6 inches below the broiler element. Set the oven to Broil.
Broil the wings, turning occasionally, until they are crisped and browned to your liking — a few minutes per side (watch closely to prevent burning).
Remove the wings from the broiler and let them rest a few minutes before serving.