Make the Broth: Place chicken, water (or broth), onion, garlic, bay leaves, oregano, salt, and pepper in a large pot. Bring to a boil, skim off foam, then reduce heat and simmer for 25–30 minutes until chicken is tender.
Add Vegetables: Remove onion and bay leaves from broth. Add carrots, celery, potatoes, zucchini, and corn. Simmer 15–20 minutes until vegetables are tender.
Shred Chicken u0026 Add Rice: Remove chicken from pot, discard skin and bones, shred meat, and return to broth. Stir in cooked rice and simmer for 5 minutes.
Finish u0026 Serve: Adjust seasoning with more salt and pepper as needed. Ladle into bowls and garnish with cilantro, lime, avocado, and jalapeños.