Genetically Engineered Cells (MAGE-A1-specific T Cell Receptor-transduced Autologous T-cells) and Atezolizumab for the Treatment of Metastatic Triple Negative Breast Cancer, Urothelial Cancer, or Non-small Cell Lung Cancer

This phase I/II trial investigates the side effects of genetically engineered cells called FH-MagIC TCR-T cells and how well they work with atezolizumab in treating patients with triple negative breast cancer, urothelial cancer, or non-small cell lung cancer that has spread to other places in the body (metastatic). 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 MAGE-A1, a protein on the surface of tumor cells. These MAGE-A1-specific T cells may help the body's immune system identify and kill MAGE-A1 tumor cells. Immunotherapy with monoclonal antibodies, such as atezolizumab, may help the body's immune system attack the cancer, and may interfere with the ability of tumor cells to grow and spread. Giving FH-MagIC TCR-T cells with atezolizumab may help treat patients with triple negative breast cancer, urothelial cancer, or non-small cell lung cancer.