Patients receive FASN inhibitor TVB-2640 orally (PO) once daily (QD) on days 1-28, paclitaxel intravenously (IV) over 1-96 hours on days 1, 8, and 15, and trastuzumab IV over 30-90 minutes on days 1, 8, 15, and 22. Courses repeat every 28 days in the absence of disease progression or unexpected toxicity.