A 32-year-old female, asymptomatic, not requiring blood transfusion, presents with Hb 13.0 gm/dl. Her HbE levels are 95%, Hb A2 1.5%. Which of the following is the most likely diagnosis -
Hereditary persistence of fetal hemoglobin
Beta homozygous thalassemia
Thalassemia intermedia
Beta heterozygous thalassemia