Heat sesame oil in a large pot over medium heat and sauté minced garlic until fragrant but not browned.
Add sliced chicken breast to the pot and cook until opaque and slightly browned.
Stir in gochujang and chili oil, coating the chicken evenly and cooking for 2 minutes to caramelize the sugars.
Pour in chicken broth and soy sauce, bringing the mixture to a gentle simmer for 5 minutes.
Lower the heat and whisk in the heavy cream, maintaining a sub-boiling temperature to prevent curdling.
In a separate pot, cook ramen noodles according to package instructions until al dente, then drain.
Divide the noodles into two deep bowls and pour the creamy spicy broth and chicken over them.
Garnish each bowl with a halved soft-boiled egg, sliced green onions, and black sesame seeds.