Heat 1 tablespoon extra virgin olive oil over medium heat in a large soup pot.
Pat the chicken dry and season with salt and pepper. Add to the soup pot in an even layer and cook for 5 minutes per side. Transfer to a plate. Keep the heat on the soup pot at medium.
Cook the aromatics:
Add another teaspoon of oil if needed. Add the onion, celery, and carrots and cook for 5–6 minutes. Season with salt and pepper.
Add the garlic and the sweet, smoked, and Hungarian paprika. Cook for 1 minute until fragrant.
Add the flour and toss to coat. Cook for 1–2 minutes to toast it in the pot.
Simmer the stew:
Pour in the stock and whisk to incorporate into the flour. Bring to a low boil. Reduce heat to low and add the potatoes and the chicken thighs. Simmer for 20–30 minutes or until the chicken is cooked through and the broth is thick.
Transfer the chicken to a bowl and taste the broth and season. If you like a thicker broth, make a slurry with 1 tablespoon of flour and ⅓ cup of hot broth and whisk it back into the stew.
Shred the chicken:
Shred the chicken into bite-sized pieces using two forks. Return it to the pot. Simmer for 5 minutes. Taste and season once more. Turn off the heat.
To serve:
Ladle the chicken into bowls and garnish with dill and lemon. Enjoy!