Absolute lymphocytes count ? cells/mm Prior ACT infusion within months of study enrollment (cohorts include ACT with tumor infiltrating lymphocytes [TIL], human leukocyte antigen [HLA]-class I T cell receptor [TCR]-engineered lymphocytes, HLA-class II TCR-engineered lymphocytes, and chimeric antigen receptor [CAR]-engineered T cells) Planned preemptive/prophylactic administration of donor lymphocytes (as per section ..) Lymphocytes* ? /mm (? . x ^/L) Lymphocytes >= /mcL Lymphocytes ? / mcL within days of treatment initiation Absolute lymphocytes count >= /mcL Absolute Lymphocytes ?/uL Lymphocytes ? . x /L Lymphocytes >= /mm^ Lymphocytes >= . x ^/L Donor lymphocytes available or able to be collected Unlikely to be able to procure additional donor lymphocytes Lymphocytes >= /mm^ Lymphocytes < % of total white blood cells (WBCs) at baseline Total lymphocytes count ? .xE/L Absolute lymphocytes > /mcL Lymphocytes > / mm