In the saucepan that already has dashi, add 1 Tbsp mirin, 1 tsp sugar, 1 Tbsp soy sauce, and ½ tsp kosher salt and bring to boil. Once boiling, turn off the heat and set aside.
Squeeze excess liquid from the inariage (or you can keep it as it is). Cut the green onion into thin slices. Slice the Narutomaki fish cake into 1/8 inch (3 mm).
Bring a large pot of water to boil for udon noodles. When everything is ready, start cooking udon noodles. Frozen udon noodles (my favorite kind) takes only 1 minute from putting into boiling water. If you use dry noodles, follow the package instructions. Heat up the noodle soup.
Serve udon noodles and soup in serving bowls and top with inariage, kombu, green onion (optional) and sprinkles of Sesame