Vegan Stuffed Tofu with Dark Sauce

Name: Vegan Stuffed Tofu with Dark Sauce
Cuisine: Asian
Ingredients: INGREDIENTS; 1 16oz extra firm tofu; 1 medium carrot, chopped; 4 oz shiitake mushroom, chopped; 2 scallion, chopped and separate whites and greens; 3 garlic cloves, minced; 1 teaspoon tamari/soy sauce, or more to taste; 1 teaspoon coconut amino; 1/2 teaspoon rice vinegar; 1 teaspoon arrowroot powder; Pinch of white pepper; Cooking oil, use high smoke point and neutral tasting oil like canola, sunflower seed, peanut, etc; For the sauce; 2 garlic cloves, minced; 1/2 cup vegetable stock or water; 1/2 tablespoon tamari/soy sauce; 1 tablespoon coconut amino; 1/2 teaspoon brown sugar or to taste; Cooking oil