Genetically Engineered Cells (Anti-CD19/CD20/CD22 CAR T-cells) for the Treatment of Relapsed or Refractory Lymphoid Malignancies

Inclusion Criteria: * Adult subjects with relapsed or refractory non-Hodgkin lymphoma with lesions =\< 5 cm, indolent lymphomas, chronic lymphocytic leukemia without Richter's transformation, or B-prolymphocytic leukemia (Cohort A) * OR adult subjects with lymphoid blast crisis, acute lymphoblastic leukemia, chronic lymphocytic leukemia with Richter's transformation, non-Hodgkin lymphoma with lesions \> 5 cm and/or lymphoblastic lymphoma, or non-Hodgkin lymphoma with circulating lymphoma cells, B-Prolymphocytic leukemia with lesions \> 5 cm (not including splenomegaly (Cohort B). * OR Pediatric subjects with Acute Lymphoblastic Leukemia or Non-Hodgkin Lymphoma * Subjects must have been treated with at least two lines of therapy. Disease must have either progressed after the last regimen or presented failure to achieve complete remission with the last regimen. B-PLL is defined as having greater than 55% prolymphocytes in the peripheral blood * Subjects with relapsed/refractory CLL after at least 2 prior lines of appropriate therapy and must have previously received an approved BTK inhibitor and venetoclax * Subjects with refractory high-grade B-cell lymphoma who relapse within 12 months of autologous stem cell transplant * Subjects with relapsed/refractory B-prolymphocytic leukemia who received at least 1- 2 prior lines of appropriate therapy and who have failed or are ineligible for allogeneic stem cell transplant * Subjects with relapsed/refractory acute B-lymphoblastic leu…