TikTok Ramen

In a medium pot of boiling water, cook the ramen noodles according to package instructions. Drain and set aside. Meanwhile, melt the butter in a large nonstick skillet over medium-high. Add the bell pepper and carrot, and cook until, stirring often, until softened, about 4 minutes. Add the garlic and chile flakes, and cook, stirring, until fragrant and golden, about 1 minute. Add the soy sauce and brown sugar and cook, stirring, until sugar is dissolved and sauce is boiling, about 15 seconds.  Add the cooked noodles and toss to coat. Push the noodles to one half of the skillet and add the egg to the other half. Season eggs with salt and pepper. Let sit until the very edges look like they are about to set, about 20 seconds. Stir occasionally, using a wooden spoon or spatula until soft curds form, about 3 minutes.  Combine noodles and eggs and spoon into bowls.  Sprinkle with everything bagel seasoning and green onion.