PRGN-3006 Adoptive Cellular Therapy for CD33-Positive Relapsed or Refractory AML, MRD Positive AML or Higher Risk MDS

Inclusion Criteria: * Participants must be diagnosed with either relapsed or refractory AML (including extramedullary disease), MRD-positive AML, or higher risk MDS. * Absolute lymphocyte count ≥ 0.2 k/μL. * Karnofsky performance status score ≥60%. * Life expectancy ≥ 12 weeks from the time of enrollment. * Pretreatment calculated or measured creatinine clearance (absolute value) of ≥ 40 mL/minute or Cr \< 2x upper limit of normal (ULN). * Bilirubin ≤ 2.0 mg/dL or total bilirubin ≤ 3.0 x ULN with direct bilirubin within normal range in participants with well documented Gilbert's syndrome or hemolysis or who require regular blood transfusions * Alanine aminotransferase (AST) and aspartate aminotransferase (ALT) \< 3.0 x ULN. * Ejection fraction measured by echocardiogram (ECHO) or multi gated acquisition scan (MUGA) \> 45%. * Participant does not require supplemental oxygen or mechanical ventilation AND has an oxygen saturation by pulse oximetry of ≥ 92% or higher on room air. * Negative serum pregnancy test. Note: Women of child-bearing potential and men must agree to use adequate contraception prior to study entry and for at least 1 year following study treatment (T cell infusion); should a woman participant or female partner of a male participant become pregnant or suspect that she is pregnant while participating on the trial, she should inform her treating physician immediately. * Participant has a matched bone marrow donor and is otherwise able to receive a bone marrow transplant (dose escalation phase only and for participants with MRD-positive AML) * Participants who have undergone allo-SCT and/or donor lymphocyte infusion (DLI) are eligible if they are at least 3 months post SCT, prior to apheresis, atleast 30 days post last DLI prior to apheresis, have not received treatment or prophylaxis for GVHD 6 weeks before administration of CAR T cells, have no active GVHD. * All participants must have the ability to understand and willingness to sign a written informed consent. Exclusion Criteria: * Diagnosis of acute promyelocytic leukemia (APL M3): t(15;17)(q22;q12); (promyelocytic leukemia \[PML\]/retinoic acid receptor \[RAR\] alpha \[a\]) and variants excluded. * Participants with peripheral blood blasts \>35% * Known central nervous system (CNS) leukemic involvement that is refractory to intrathecal chemotherapy and/or cranio-spinal radiation; participants with a history of CNS disease that have been effectively treated to complete remission ( i.e. no blasts in cerebrospinal fluid \[CSF\] by cytology and flow cytometry) will be eligible. * Prior treatment with investigational CD33 targeting CAR T therapy for any disease. * Prior treatment with licensed or investigational CD33 targeting monoclonal antibody or antibody drug conjugate within 6 months of apheresis. * Participants enrolled in another investigational therapy protocol for their disease within 14 days or 5 half-lives of apheresis, whichever is shorter. * Ongoing uncontrolled serious infection, symptomatic congestive heart failure, unstable angina pectoris, uncontrolled cardiac arrhythmia, poorly controlled pulmonary disease or psychiatric illness/social situations that would limit compliance with study requirements. * Human immunodeficiency virus (HIV) seropositivity, or active hepatitis B or C infection based on testing performed within 28 days of enrollment. * Participants requiring agents other than hydroxyurea to control blast counts within 14 days of study enrollment. * Participants with presence of other active malignancy within 1 year of study entry; participants with adequately resected basal or squamous cell carcinoma of the skin, or adequately resected carcinoma in situ (e.g. cervix) may enroll irrespective of the time of diagnosis. * Pregnant and lactating women are excluded from this study * History of allergic reactions attributed to compounds of similar chemical or biological composition to cetuximab (anti-EGFR). * Active autoimmune disease requiring systemic immunosuppressive therapy (i.e. \>10mg of prednisone daily or equivalent). * Participant, who in the opinion of the investigator, may not be able to comply with the safety monitoring requirements of the study.