Tofu Chanpuru
1 (12 ounce) can fully cooked luncheon meat (… 1 (12 ounce) package extra-firm tofu, drained 1 head cabbage, cored and chopped 1 large onion, chopped 1 tablespoon chopped green onion, or more to … 1 tablespoon minced fresh ginger, or to taste 2 carrots, grated 2 tablespoons white sugar 2 teaspoons vegetable oil, or as needed 4 cloves garlic, chopped 4 eggs, slightly beaten 8 mushrooms, sliced ¼ cup soy sauce ½ cup miso paste ½ cup sake