Dice carrot, onion, zucchini, and shiitake mushrooms into small cubes.

Chop green chilies and green onion finely.

Add all diced vegetables into a pot.

Add water, soybean paste, red pepper paste, minced garlic, red pepper powder, sugar, and black pepper to the pot.

Turn on the stove to medium heat and stir the mixture occasionally.

Simmer the mixture until it thickens, stirring occasionally.

Once the liquid reduces by half, lower the heat to low and stir continuously.

When the stew reaches a thick and sticky consistency, drizzle sesame oil and mix well.