Phase I/II Study of Engineered T Cell Receptor-Modified NK Cells Targeting PRAME in Conjunction With Lymphodepleting Chemotherapy for the Management of Relapse/Refractory Myeloid Malignancies

Inclusion Criteria: 1. 18- 80 years of age. English and non-English speaking patients are eligible. 2. Patients with one of the following hematological malignances: AML, MDS/CMML. Patients must meet disease specific eligibility criteria (see below) 3. Patients at least 7 days from last cytotoxic chemotherapy at the time of starting lymphodepleting chemotherapy, except for Hydroxyurea which is allowed for peripheral blood count control in AML patients until the day prior to administration of lymphodepleting chemotherapy. Patients may continue tyrosine kinase inhibitors or other targeted therapies until up to three days prior to administration of lymphodepleting chemotherapy. 4. Localized radiotherapy to one or more disease sites is allowed prior the infusion provided that there are additional disease sites that are not irradiated to assess response. 5. Karnofsky Performance Scale \> 50%. 6. Adequate organ function: as described in 7-10 7. Renal: Serum creatinine \</= 2.0 mg/dL and estimated Glomerular Filtration Rate (eGFR using the CKD-EPI equation).GFR = 141 x \[min(Scr/k), 1)a x max (Scr/k), 1) -1.209\] x Age-0.993 x 1.018 \[if female\] x \[ 1.157 if Black\] (a is 0.329 for females and 0.411 for males; min indicates minimum of Scr/k or 1, and max indicates maximum of Scr/k or 1) 8. Hepatic: ALT/AST \</= 2.5 x ULN or \</= 5 x ULN if documented liver metastases, Total bilirubin \</= 1.5 mg/dL, except in subjects with Gilbert's Syndrome in whom total bilirubin must be \</= 3.0 mg/dL. No history of liver cirrhosis. No ascites. 9. Cardiac: Cardiac ejection fraction \>/= 40%, no clinically significant pericardial effusion as determined by an ECHO/MUGA, and no uncontrolled arrhythmias or symptomatic cardiac disease. 10. Pulmonary: No clinically significant pleural effusion (per PI discretion), baseline oxygen saturation \> 92% on room air and adequate pulmonary function with FEV1, FVC and DLCO (corrected for Hgb) \>50%. 11. Able to provide written informed consent. 12. All participants who are able to have children must practice effective birth control while on study and up to 3 months post completion of study therapy. Acceptable forms of birth control for female patients include: hormonal birth control, intrauterine device, diaphragm with spermicide, condom with spermicide, or abstinence, for the length of the study. If the participant is a female and becomes pregnant or suspects pregnancy, she must immediately notify her doctor. If the participant becomes pregnant during this study, she will be taken off this study. a. Approved methods of birth control are as follows: Hormonal contraception (i.e. birth control pills, injection, implant, transdermal patch, vaginal ring), Intrauterine device (IUD), Tubal Ligation or hysterectomy, Subject/Partner post vasectomy, Implantable or injectable contraceptives, and condoms plus spermicide. Not engaging in sexual activity for the total duration of the trial and the drug washout period is an acceptable practice; however periodic abstinence, the rhythm method, and the withdrawal method are not acceptable methods of birth control. Should a woman become pregnant or suspect she is pregnant while she or her partner is participating in this study, she should inform her treating physicaian immediately. 13. Men treated or enrolled on this protocol must also agree to use adequate contraception, such as subject post vasectomy, partner with implantable or oninjectable contraceptives, and condoms plus spermicide, prior to the study, for the duration of study participation, and 4 months after completion of study agent administration. Men who are able to have children must use effective birth control while on the study. If the male participant fathers a child or suspects that he has fathered a child while on the study, he must immediately notify his doctor. 14. Signed consent to long-term follow-up protocol PA17-0483 to fulfill the institutional responsibilities to various regulatory agencies. 15. Life Expectancy \>=3 mo, by PI assessment 16. Patients are HLA-A\*02:01 positive on HLA typing. 17. Patients must have one of the following diseases: Acute myeloid leukemia (AML): one of the following: 1\. Patients with active (\>5% of blasts or positive MRD at a level of \>0.1% measured by multiparameter flow cytometry) relapsed or refractory AML. Who have received at least two lines of therapy. One or more of the lines of therapy must include hypomethylating agents and venetoclax. Patients who have mutations for which there are FDA approved targeted therapies (i.e. FLT3) must also have received at least one of such agent. Patients with diagnosis of acute promyelocytic leukemia are not eligible. Patients who relapse after allogeneic stem cell transplantation are eligible irrespective of the number and type of therapy received prior transplant. 1. Relapsed AML is defined as patients who had a first complete remission (CR) before developing recurrent disease. 2. Refractory AML is defined as patients that have not achieved a CR after 2 cycles of standard induction chemotherapy. OR determining the eligibility of the patient. For example, patients who received hypomethylating agents and venetoclax for the treatment of the MDS are not required to receive again hypomethylating agents and venetoclax to treat the secondary AML to be eligible. Similarly, patients who received two lines of therapy for the management of the MDS or MPD are not required to receive an additional two lines of therapy for the management of the AML to be eligible. Patients who relapse after allogeneic stem cell transplantation are eligible irrespective of the number and type of therapy received prior transplant. Myelodysplastic syndromes (MDS)/Chronic myelomonocytic leukemia (CMML):one of the following: 1. Patients with high risk or intermediate risk MDS/CMML who have received at least two lines of therapy and have positive MRD at a level of \>0.1% measured by multiparameter flow cytometry or ar