AFNT-211 is a cellular therapy consisting of autologous CD4+ and CD8+ T cells engineered to express a human leukocyte antigen-A (HLA-A)\*11:01-restricted Kirsten rat sarcoma (KRAS) G12V-specific transgenic T cell receptor (TCR), the wildtype CD8α/β coreceptor, and a FAS-41BB switch receptor. AFNT-211 is being developed by Affini-T Therapeutics, Inc. (hereafter, "the Sponsor") for the treatment of patients with malignant solid tumors. The primary purpose of this study is to assess the safety and tolerability of AFNT-211 in subjects who are HLA-A\*11:01 positive with advanced or metastatic cancers that harbor a KRAS G12V mutation, as well as determine the optimal biological dose (OBD) and recommended Phase II dose (RP2D) of AFNT-211 in this population. This study will also evaluate the preliminary anti-tumor activity of AFNT-211.