Cut tofu, zucchini, onion, potato, green onion, and spicy green chili into bite-sized pieces.
Pour anchovy-kelp broth into a pot and bring to a boil.
When the broth boils, add potato, zucchini, and onion, then simmer for 3 minutes.
Dissolve the soybean paste into the pot and continue boiling.
Add tofu and mushrooms, then simmer for another 3 minutes.
Add garlic, green onion, and spicy green chili, then bring to a final boil.