Easy Vegetable Fried Rice

Name: Easy Vegetable Fried Rice
Ingredients: 3 tablespoons vegetable oil , divided; 1 cup broccoli crowns and stems; 1 cup chopped carrots; 1 cup shredded cabbage; 1 cup diced zucchini; 1/2 cup thinly sliced bell pepper , cut into 1-inch pieces; 1 cup frozen shelled edamame or peas; 3 large eggs , beaten; Salt and freshly ground pepper , to taste; 3 cups cooked and cooled white or brown rice; 1 tablespoon peeled and minced fresh ginger; 2 teaspoons finely minced garlic; 1/4 cup low-sodium soy sauce , plus more for serving; 1 tablespoon sesame oil, regular or spicy; 1/2 cup thinly sliced scallions , white and light green parts, plus more for garnish