Sundubu Jjigae (soft tofu soup)

Ingredients

• dried seaweed
• 2 tbsp oyster sauce
• 2 tbsp soy sauce
• 3 tbsp gochugaru, or more to taste
• neutral vegetable oil
• 1 tsp toasted sesame oil
• 1 yellow onion, chopped
• 1 large carrot, sliced
• 2 packages (28 oz) silken tofu
• 12 oz mushrooms, sliced
• 3 zucchini, sliced
• 2 cups kimchi, coarsely chopped
• 6 eggs