Set Instant Pot to Saute and add oil. Once hot, add onion and pepper. Cook until softened, stirring occasionally, about 4 to 5 minutes.
Stir in garlic, tomato paste, and spices. Cook for 30 seconds until fragrant.
Stir in chicken, beans, chiles, tomatoes, and stock.
Set Instant Pot to Manual. Cook for 10 minutes on High pressure, then quick release pressure.
Using tongs, remove chicken to a cutting board. Shred using two forks and return to the soup. Stir until combined.
Taste and season with salt and pepper, as desired. I personally like to use 1/2 tsp of each.
Serve immediately with toppings.