Soon Du Bu Jigae

1 tsp vegetable oil
1 tsp chili powder
1/2 dried shiitake mushrooms, rehydrated
1 tbsp miso
2.5 cups water
1 package (12 oz) soft tofu
2 eggs
1 tsp sesame seeds
1 green onion

Based on http://www.yummly.com/recipe/external/Korean-Soft-Tofu-Stew-_Soon-Du-Bu-Jigae_-AllRecipes