A Study to Evaluate the Efficacy and Safety of Icotrokinra (JNJ-77242113) in Biologic-experienced and Biologic-naive Participants With Active Psoriatic Arthritis

Inclusion Criteria: * Have active psoriatic arthritis (PsA) despite current or previous use of greater than or equal to (\>=) 1 of the following: a. Non-biologic disease-modifying antirheumatic drug (DMARD) therapy; b. Apremilast therapy; c. Biologic-agent (limited to only 1) * Have a diagnosis of PsA for at least 3 months before the first administration of study intervention and meet classification criteria for Psoriatic Arthritis (CASPAR) at screening * Have active PsA as defined by: (a) At least 3 swollen joints and at least 3 tender joints at screening and at baseline (b) C-reactive protein (CRP) \>= 0.1 milligrams per deciliter (mg/dL) at screening from the central laboratory * Have at least 1 of the PsA subsets: distal interphalangeal joint involvement, polyarticular arthritis with absence of rheumatoid nodules, arthritis mutilans, asymmetric peripheral arthritis, or spondylitis with peripheral arthritis * Have active plaque psoriasis with at least one psoriatic plaque of \>= 2 cm diameter or nail changes consistent with psoriasis * A female participant of childbearing potential must have a negative highly sensitive serum pregnancy test (Beta-hCG) at screening and a negative urine pregnancy test at Week 0 prior to administration of study intervention Exclusion Criteria: * Has a history or current signs or symptoms of severe, progressive, or uncontrolled renal, hepatic, cardiac, vascular, pulmonary, gastrointestinal, endocrine, neurologic, hematologic, rheumatologic (…