This is a first-in-human, multicenter, open-label Phase I/II study evaluating the safety, tolerability, pharmacokinetics, pharmacodynamics, and preliminary antitumor activity of oral Zn-Telomir monotherapy in adults with advanced or metastatic triple-negative breast cancer. Phase I uses a modified 3+3 dose-escalation design to determine safety, tolerability, maximum tolerated dose, and recommended Phase II dose. Phase II uses a Simon two-stage expansion design at the recommended Phase II dose to evaluate preliminary antitumor activity, including objective response rate per Response Evaluation Criteria in Solid Tumors.