The main purpose of this study is to evaluate the long-term safety and efficacy of the drug Deucravacitinib (BMS-986165) in participants who have been previously enrolled in an applicable Phase 3 psoriasis study. In addition, the study includes a vaccine cohort to evaluate whether deucravacitinib impacts the humoral immune response to 2 non-live vaccines, the Pneumovax 23 vaccine (pneumococcus), a T-cell independent vaccine, and the Boostrix vaccine (tetanus toxoid), a T-cell dependent vaccine. Additionally, this vaccine cohort assesses the safety of administering these vaccines to subjects with psoriasis receiving deucravacitinib compared to those receiving a placebo.