Season chicken with Adobo. Heat olive oil in large skillet over medium-high heat. Add chicken; cook, flipping occasionally, until browned but not cooked through, about 3-5 minutes; set aside on plate.
To same skillet, over medium-high heat, add rice. Cook, stirring often, until rice begins to turn opaque, about 1 minute; add chicken stock and Recaito, stirring to combine. Add black beans, diced green chiles, red bell pepper and reserved chicken; stir to combine.
Bring chicken stock to boil; tightly cover skillet. Reduce heat to low; simmer, covered, until water is absorbed, rice is tender and chicken is cooked through (juices run clear and internal temperature registers 170°F on quick-read thermometer when inserted into center), about 20 minutes.
Uncover skillet and fluff rice with fork. Stir in lime juice and chopped cilantro. Serve with lime wedges, if desired.