In a glass bowl, combine the vinegar, soy sauce, garlic, pepper, and bay leaf. Place chicken thighs in a bowl and stir. Cover with cling film, place in the refrigerator for 30 minutes, or better overnight.
Remove chicken from marinade, pat dry with a paper towel. Do not pour out the marinade.
Pour vegetable oil into a large cast-iron saucepan (cauldron), heat over medium heat. Place a few chicken thighs and fry until golden brown. Put on a plate, fry the rest of the chicken.
Transfer all fried chicken back to the pan. Peel and dice the potatoes. Put in a saucepan with chicken. Peel and cut the carrots into slices and place in a saucepan. Pour marinade and 3/4 cup water, bring to a boil. Reduce heat, simmer meat and vegetables for about 45 minutes.
Pour rice into a saucepan, pour 4 glasses of water, salt. Bring water to a boil, cover the pan with a lid, reduce heat, cook for about 20 minutes, until the liquid evaporates.
Remove the bay leaf from the chicken pan. Dissolve the starch in a spoonful of water, pour this mass into a saucepan with chicken thighs. Stir well, cook for about 2 minutes, stirring occasionally.