ST-067 in Combination With CD19-Directed CAR T-Cell Therapy (Liso-cel) in Relapsed/Refractory Large B-Cell Lymphoma

Inclusion Criteria: * Male or female \>= 18 years of age at the time of consent * Patients with LBCL (including diffuse large B-cell lymphoma \[DLBCL\] not otherwise specified \[including DLBCL arising from indolent lymphoma\], high-grade B-cell lymphoma, primary mediastinal large B-cell lymphoma, and follicular lymphoma grade 3B) with at least 2 lines of systemic therapy and an Food and Drug Administration (FDA)-approved indication for treatment with liso-cel * Fluorodeoxyglucose (FDG)-avid disease on PET imaging before lymphodepletion or pathology evidence of active disease * Evidence of CD19 expression on any prior or current tumor specimen or a high likelihood of CD19 expression based on disease histology * Karnofsky performance status \>= 60% * Adequate bone marrow function for lymphodepletion chemotherapy defined as: absolute neutrophil count (ANC) \>= 1000 cells/mm\^3, platelets \>= 50,000 cells/mm\^3, and hemoglobin \>= 8 g/dL, unless the cytopenias are due to bone marrow involvement by lymphoma in the opinion of the principal investigator (PI) * Calculated creatinine clearance (Cockcroft/Gault) \> 30 mL/min/1.73 m\^2 * Alanine aminotransferase (ALT) and aspartate aminotransferase (AST) =\< 3 x upper limit of normal (ULN) (or \< 5 x ULN for subjects with lymphomatous infiltration of the liver) and total bilirubin =\< 2 (or \< 3.0 for subjects with Gilbert's syndrome, lymphomatous infiltration of the liver, or hemolysis) * Adequate pulmonary function based on pulmonar…