RecruitingPhase 1Biological interventionModified Immune Cells (TAG72-CAR T Cells) for the Treatment of Patients With Platinum Resistant Epithelial Ovarian CancerThis phase I trial tests the safety, side effects, and best dose of TAG72-chimeric antigen receptor (CAR) T cells in treating patients with epithelial ovarian cancer that remains despite treatment with platinum therapy (platinum resistant). T cells are infection fighting blood cells that can kill tumor cells. The T cells given in this study will come from the patient and will have a new gene put in them that makes them able to recognize TAG72, a protein on the surface of tumor cells. These TAG72-specific T cells may help the body's immune system identify and kill TAG72+ cancer cells.