Heat 1/4 cup oil in a large pot over medium-high heat until hot. Add garlic and cook, stirring, until barely golden, about 30 seconds. Add carrots, reduce heat to medium, and cook, stirring occasionally, until beginning to soften, 3 to 4 minutes. Add mushrooms and cook, stirring occasionally, until beginning to soften, 2 to 3 minutes. Add sliced asparagus stalks and cook for 2 minutes, then add the asparagus tips, peas, beans and scallions. Season with sea salt and pepper. Cook, stirring, until all the vegetables are just tender, about 2 minutes more. Remove from the heat.