Heat oil in a large pot on medium heat.
Add chicken thighs into the pot. Cook for 3-4 minutes on each side until the chicken begins to get a bit crispy. Season the chicken with salt, pepper, garlic powder, and cumin. Once the chicken has cooked for 3-4 mins on each side, fill the pot with 8 cups of water or broth, add in the bay leaves and diced potatoes, and bring it to a simmer.
In a separate pan, heat oil over medium heat, and add the diced onions, garlic, and carrots. Season with salt and pepper.Pan fry for about 4 minutes or until the onions start to become translucent. Add the fried onion, garlic, and carrot mixture into the pot. Add the diced pickles to the pot. Let the mixture simmer for 15 minutes, stirring occasionally.
Take the chicken thighs out and shred them or cut into bite sized pieces.
Add the chicken pieces back in along with the rice.
Add in 1 cup of dill pickle brine, some salt, and pepper. You can always add more brine and seasonings later if you see fit.
Let the soup simmer on medium high heat for 15-20 mins or until the rice has cooked through.
Taste the broth and adjust seasonings as needed.
Take out the bay leaves. Serve hot with sour cream, fresh dill, and cracked black pepper.