A 38-year-old woman with acute promyelocytic leukemia (APL) presents to the emergency department with severe bleeding. She has spontaneous bleeding from gums, petechiae over the lower extremities, and hemoptysis. Laboratory investigations reveal: Hemoglobin 7.2 g/dL, Platelet count 18,000/μL, PT 18 seconds (control 12), aPTT 52 seconds (control 32), Fibrinogen 85 mg/dL (normal 200–400), D-dimer markedly elevated, and blood smear shows Auer rods. What is the most likely diagnosis?