AlloNK®, an Allogeneic Non-genetically Modified, Cord Blood-derived NK Cell Therapy, in Combination With Rituximab, Studied in Relapsing Forms of B-cell Dependent Rheumatologic Diseases.

For Subjects with Refractory Rheumatoid Arthritis (RA): * Documented diagnosis of RA, meeting the 2010 ACR/EULAR classification criteria. * Rheumatoid Factor (RF) or Anti Citrullinated Protein Antibody (ACPA) positive. * High-sensitivity C-reactive protein (hs-CRP) \> 3 mg/L or Erythrocyte Sedimentation Rate (ESR) \> 28 mm/hr. * Have had prior treatment for a period of at least 12 weeks with a biologic disease modifying anti-rheumatic drug and were deemed refractory by the treating physician. * Minimum of six swollen joint counts (SJC) and six tender joint counts (TJC) according to joint assessment. For subjects with Sjögren's Disease (SjD) * Prior diagnosis of Primary SjD as per 2016 ACR/EULAR criteria with confirmatory diagnosis in the 24 weeks preceding screening. * Total Clinical European League Against Rheumatism Sjogren's Syndrome Disease Activity Index (clinESSDAI) \> 6. * Salivary Flow Rate \> 0.1 mL/min on stimulation. For subjects with Idiopathic Inflammatory Myopathies (IIMs) * Presence of a positive autoantibody (ANA \>1:80 or RNP or SSA/SSB or other myositis specific autoantibodies. * Refractory IIM as defined by inadequate response/intolerance to at least 3 months of glucocorticoids and/or at least one other immunosuppressive. * Muscle biopsy or muscle MRI to confirm IIM diagnosis, where applicable, within 12 months prior to enrollment. For Subjects with Systemic Sclerosis (SSc) * Diagnosis of SSc in accordance with the ACR/EULAR 2013 classification. * Modified Rodnan skin score (mRSS) \> 10. * Initial confirmatory diagnosis within 8 years of screening. * Refractory SSc as defined by inadequate response/intolerance to at least 3 months of glucocorticoids and/or at least one other immunosuppressive.