The purpose of this study is to evaluate the safety and effectiveness of treatment with branebrutinib treatment in participants with active systemic Lupus Erythematosus (SLE) or Primary Sjögren's Syndrome (pSS), or branebrutinib treatment followed by open-label abatacept treatment in study participants with active Rheumatoid Arthritis (RA).
Inclusion Criteria: Sub-study for Systemic Lupus Erythematosus (SLE) * Active SLE as defined by the Systemic Lupus Erythematosus International Collaborating Clinics (SLICC) classification * Diagnosed with SLE more than 24 weeks before screening visit Sub-study for primary Sjögren's Syndrome (pSS) * Moderate to severe pSS, meeting ACR-EULAR classification criteria Sub-study for active Rheumatoid Arthritis (RA) * Moderate to severe adult-onset RA * ACR global functional status class I to III Women and men must agree to follow instructions for methods of contraception. Exclusion Criteria: Sub-study for SLE * Certain other autoimmune diseases and overlap syndromes Sub-study for pSS * Certain other immune-mediated diseases, active fibromyalgia, or other medical conditions Sub-study for RA * Diagnosis with juvenile arthritis or idiopathic arthritis before age 16 For all sub-studies: * History of any significant drug allergy * Active infection, significant concurrent medical condition, or clinically significant abnormalities Other protocol defined inclusion/exclusion criteria could apply