Combine ingredients for sauce including water, soy sauce, mirin, rice syrup, gochujang, and black bean paste in a medium bowl. Set aside.
Cook ramen noodles until al dente. Drain and shock in ice water. Drain again and set aside.
Heat 1 tablespoon oil in a large saute pan. Add sliced spam and sear on both sides. Remove from pan and set aside.
In the same pan, heat another tablespoon oil. Add onions and carrots and saute until onion has softened, about 3 minutes. Add spam and rice cakes to pan. Pour sauce and stir until well coated. Cover and let simmer for 5 minutes or until rice cakes are soft.
Add ramen noodles and simmer for 1 minute or until warm. Remove from heat and sprinkle sesame seeds on top. Serve immediately.