Study of Tagraxofusp for Post-Transplant Maintenance for Patients With CD 123+ AML, MDS, MF and CMML (HSCT 002)

Inclusion Criteria: 1. The patient is ≥18 years old and ≤ 75 years old. 2. The patient has a life expectancy of \>6 months. 3. The patient has an Eastern Cooperative Oncology Group (ECOG) performance status (PS) of 0-2. 4. The patient has adequate baseline organ function, including cardiac, renal, and hepatic function within 28 days of start of therapy: * Left ventricular ejection fraction (LVEF) ≥ 50% as measured by multigated acquisition scan (MUGA) or 2-dimensional (2-D) echocardiogram (ECHO) and no clinically significant abnormalities on a 12-lead electrocardiogram (ECG) * Serum Creatinine ≤ 1.5 mg/dL * Bilirubin ≤1.5 mg/dL * Aspartate transaminase (AST) and alanine transaminase (ALT) ≤2.5 times the upper limit of normal (ULN) * Absolute neutrophil count (ANC) ≥0.5 × 10⁹/L * Platelets ≥ 80,000/mm\^3 * Serum albumin ≥3.2 (note that albumin infusions are not permitted in order to enable eligibility) 5. Patient meets the 2016 WHO diagnostic criteria for MF, is CD 123+, and has an IPSS/DIPSS/DIPSS-plus intermediate-1 with anemia (Hb \< 10g/dl), splenomegaly (\> 12 cm), leukocytosis (WBC \> 25K) intermediate-2 or high-risk disease pre transplant. Or Patient has a 2016 WHO-defined diagnosis of CMML (persistent monocytosis ≥1 × 10⁹/L for at least 3 months, with other causes excluded, and monocytes ≥10% of WBC in peripheral blood, no criteria and no previous history of CML, ET, PV, and acute promyelocytic leukemia) pre transplant and is CD123+ Or Patient has 2016 WHO-defined CMML-1 (2-4% blasts in peripheral blood and/or 5-9% blasts in bone marrow) and CMML-2 (5-19% blasts in peripheral blood and/or 10-19% blasts in bone marrow, and/or presence of Auer rods) pre transplant and is CD 123+ Or Patient has CD 123+ AML in morphologic remission pre transplant Or Patient has Intermediate or high risk MDS by IPSS-R or moderate or high risk by IPSS-M pre transplant and has had no morphologic progression of disease post-transplant. Receipt of first allogeneic stem cell transplant (related, unrelated, haploidentical or cord blood) 60-120 days prior to study registration 6. Patient is in morphologic remission according to bone marrow biopsy completed within 30 days prior to planned start of study treatment 7. Provision of signed and dated informed consent form 8. Stated willingness to comply with all study procedures and availability for the duration of the study 9. For females and males of reproductive potential: agreement to use adequate contraception for at least one month prior to screening, during study participation and for an additional one week after the end of study drug administration. Other (non-study) medications may require participants to use adequate contraception for longer. 10. For males of reproductive potential: use of condoms or other methods to ensure effective contraception with partner. Other (non-study) medications may require participants to use adequate contraception for longer. 11. Agreement to adhere to Lifestyle Considerations throughout study duration Exclusion Criteria: 1. Treatment with any disease-related therapy, including radiation therapy or investigational agent, within 14 days of study entry 2. Previous treatment with tagraxofusp or known hypersensitivity to any components of the drug product 3. Active malignancy and/or cancer history (excluding myeloproliferative disorders and concomitant myeloid malignancies as specified in the inclusion criteria) that can confound the assessment of the study endpoints. Patients with a past cancer history (within 2 years of entry) and/or ongoing active malignancy or substantial potential for recurrence must be discussed with the Sponsor before study entry. Patients with the following neoplastic diagnoses are eligible: non-melanoma skin cancer, carcinoma in situ (including superficial bladder cancer), cervical intraepithelial neoplasia, or organ-confined prostate cancer with no evidence of progressive disease. 4. Known active or suspected disease involvement of the central nervous system (CNS) 5. Receiving \> 10 mg prednisone daily for GVHD 6. Overall Grade 2 or greater acute GVHD (per Magic criteria) at time of registration 7. Pregnant or breast feeding 8. Requirement of supplemental oxygen 9. Clinically significant cardiovascular disease (e.g., uncontrolled or any New York Heart Association Class 3 or 4 congestive heart failure, uncontrolled angina, history of myocardial infarction or stroke within 6 months of study entry, uncontrolled hypertension or clinically significant arrhythmias not controlled by medication) 10. Uncontrolled, clinically significant pulmonary disease (e.g., chronic obstructive pulmonary disease, pulmonary hypertension) that in the opinion of the Investigator would put the patient at significant risk for pulmonary complications during the study 11. Uncontrolled intercurrent illness including, but not limited to, uncontrolled infection, disseminated intravascular coagulation, or psychiatric illness/social situations that would limit compliance with study requirements 12. Known positive status for human immunodeficiency virus or active or chronic Hepatitis B or Hepatitis C 13. Receiving treatment for known or suspected fungal infection (prophylaxis is acceptable) 14. Known positive SARS-COV-2 test within 3 weeks of study entry. Exception: Tests that reflect past, resolved infection where the patient is determined to NOT be infectious, according to an infectious disease specialist, do not exclude the patient from participation. 15. Pedal edema ≥ grade 2