Heat oven to 425°F (220°C). Lightly coat the oven proof pan with olive oil and put into oven to preheat for 5 to 10 minute.
Prep the potatoes and put into a large bowl. Lightly sprinkle with salt to taste (approx. 1/2 to 1 teaspoon). Mix the gochujang, miso, and garlic in a small bowl. Add to the potatoes. Pour the mixture into the bed of potatoes and mix well so that all the potatoes are well coated.
Remove heated pan from the oven - be careful, it will be hot. Place on a trivet. Pour the seasoned potatoes into the hot pan. Carefully spread out the potatoes evenly across the pan. You will hear the potatoes sizzling on the hot pan. Return the pan to oven and bake for 25 to 28 minutes until the top is lightly brown and crispy.
As the pancake is cooking in the oven, start making the sauce. Mix the fresh squeeze lime juice with olive oil, honey, chopped scallions, gochujang, and the two types of sesame seeds. Stir well to combine.
When the potatoes pancake is ready, remove from oven. Using the back of a spoon, make 9 indentations wells into the potatoes. Crack an egg into each indentation. Cover the pan with the lid and return the entire thing in the oven. Bake for another 8 minutes or until the whites are opaque. The yolk will still be runny (like an Eggs Benedict).
When ready, remove the entire pan from oven. Carefully open the lid and sprinkle salt and pepper lightly on eggs. Spoon on the sauce around the eggs onto the potatoes. Serve immediately with lime wedges and optional ichimi togarashi and cilantro.