Authentic Kitsune Udon Noodle Soup

Name: Authentic Kitsune Udon Noodle Soup
Ingredients: 4 pieces fried tofu pouch (aburaage); water (for blanching, enough to fully submerge aburaage); ½ tsp salt; 150 ml dashi stock; 2 tbsp mirin (hon-mirin best); 2 tbsp sugar; 1 tbsp sake; 2 tbsp Japanese light soy sauce (usukuchi shoyu) (or regular soy sauce); 1000 ml dashi stock; 4 tbsp Japanese light soy sauce (usukuchi shoyu) (or regular soy sauce); 2 tbsp mirin; 4 portions udon noodles (thick or medium-thick preferred for texture); finely chopped green onions; 12 slices kamaboko fish cake (omit for plant-based diets)