Preheat the oven to 425 F.
Cut the broccoli into large florets. They shouldn’t be too small, otherwise they will burn in the oven. Spread the florets in a sheet pan. Drizzle 2 tbsp of the olive oil and season with salt and pepper and toss to distribute the spices and oil evenly. Spread the broccoli evenly in one layer.
Once the oven is preheated, roast the broccoli for 30-40 minutes until the broccoli is slightly charred, but not burned.
While the broccoli is baking, heat the remaining olive oil in a large, heavy-bottomed pot, like a dutch oven, over medium-high heat.
Add the onions and reduce the heat to medium. Sauté the onions for about 5-7 minutes until the edges are turning slightly brown.
Add the garlic, ginger, and chilies and sauté for another 2-3 minutes until the mixture is fragrant.
Add the gochujang sauce and mix well for about 1 minute. Add salt to taste and mix well.
Add the coconut milk and the water and mix. Increase the heat to medium-high and let the broth simmer for 15-20 minutes.
While the broth is simmering, cook the noodles according to the package instructions. Once they are done drain and set aside.
Add the baby corn to the broth and stir and turn the heat off.
To serve, divide the noodles into two serving bowls. Pour the broth over the noodles and top with the baby corn and charred broccoli. Enjoy!