Make Broth: Add olive oil to large Dutch Oven and bring to medium-high heat. Add shallots and move around pan until fragrant, approx. 1 minute. Add garlic and move around for another minute. Add lemongrass and ginger and stir for 30 seconds then add broth, soy sauce, sesame oil, rice wine vinegar, lemon juice, and salt. Bring to a boil and reduce to simmer.
Boil Chicken: Add chicken thighs and cover. Let cook 15 minutes or until chicken is cooked through. Remove chicken thighs and place on a plate. Let cool slightly and then shred the meat. Cover broth and leave on low.
Cook Shiitake Mushrooms: Bring a large cast iron skillet to medium-high heat. Add 2 tablespoons of butter and let melt. Add mushrooms and move around pan until they are soft, but firm. Add additional butter, as needed, and season with salt. Move to plate and set aside.
Crispy Chili Garlic Chicken: In the same cast iron skillet, bring back to medium-high heat and add 1 teaspoon of olive oil. Add shredded chicken along with 4 tablespoons soy sauce, 1 teaspoon rice wine vinegar, and chili garlic sauce. Move around pan until chicken is warmed through. Feel free to place under broiler for a minute if you want to crisp up your chicken.
Cook Noodles: Bring the broth back up to a simmer and add in the ramen noodles. Cook al dente per package instructions (see Notes).
Serve: Divide noodles and broth between 4 bowls. Top with mushrooms, chicken, egg, onions, carrots, cilantro, jalapeño and Sriracha. Garnish with sesame seeds.
Notes
Ramen Noodles: just note that keeping the noodles in the broth while storing will result in the noodles soaking up the liquid. If you feel like you will have leftovers, maybe cook noodles separately so they can be stored separately.