Nqaj Qaab Zib Sweet Pork

Name: Nqaj Qaab Zib (Sweet Pork)
Ingredients: 1 tablespoon canola oil; 2 pounds pork belly, cut into 1-inch pieces; 12 hard-cooked quail eggs, peeled; 1/4 cup sweet soy sauce (preferably ABC), divided, plus more to taste; 2 tablespoons dark brown sugar, plus more to taste; 2 teaspoons kosher salt; 1 (2-ounce) lemongrass stalk, cut crosswise into thirds; 1 (2-inch) piece fresh galangal or ginger, thinly sliced (about 1/3 cup); Pinch of Chinese five spice (optional); Cooked white jasmine rice, for serving