Homemade Chicken and Dumplings

whole chicken cut-up (you can usually find a package with 2 breasts, 2 thighs, 2 wings and 2 drumsticks)

water (or enough to cover the chicken and vegetables)

large carrots, cut into large chunks

stalks celery, green tops included, cut into large chunks

large onion, quartered

unbleached (all-purpose flour, plus extra for rolling)

baking powder

salt

cold butter (cut into 1/2” pieces)

whole milk (scant)

chicken broth or stock (homemade or low-sodium store-bought)

cooked (shredded chicken)

large carrot (diced)

frozen peas