Season chicken with garlic powder, cumin, chili powder, cayenne pepper, oregano, salt, and pepper.
Heat olive oil in a large pot or Dutch oven over medium-high heat. Add chicken and cook until browned and cooked through.
Remove chicken from pot and set aside. Add olive oil, carrots, celery, and onion to the pot and cook until softened, about 8-10 minutes.
Add garlic and cook for 1 minute more.
Add chicken stock, water, bay leaf, and salt to the pot. Bring to a boil, then reduce heat and simmer for 15-20 minutes.
Add noodles and cook according to package directions.
Shred or chop the cooked chicken and add it back to the soup.
Stir in lemon juice and dill.
Serve hot with extra lemon wedges.