Put the chicken in a medium Dutch oven or heavy pot and add the bell pepper and chicken broth. Bring to a boil. Cover and reduce the heat to medium low; gently simmer until the chicken is just cooked through, about 12 minutes. Transfer the chicken and bell pepper to a plate using a slotted spoon; let cool. Shred The chicken.

Add the beans to the pot with the broth. Increase the heat to high, cover and cook until crisp tender, seven minutes. Transfer the beans to a colander using a slotted spoon, reserve the broth in the pot; rinse under the cold water and let drain. Transfer to a medium bowl and toss with the lemon juice, 1 tablespoon olive oil and 1/4 teaspoon salt.

Meanwhile, lightly toasted almonds in a dry skillet over medium heat, 1 to 2 minutes; remove to a plate and set aside. Add the remaining 1 tablespoon olive oil and garlic to the skillet. Cook until softened about one minute. Add the bread. Cook, stirring often, until golden, about five minutes. Transfer the garlic and the bread to a blender or food processor along with the bell pepper, 1/2 cup of the warm broth, 1 tablespoon each capers and parsley, And 1/4 teaspoon salt. Purée until smooth; transfer to a large bowl.

Add the chicken to the red pepper sauce; season with salt and toss. Top each serving with the remaining capers and parsley; serve the green beans on the side, sprinkle with the almonds.