Oral elemental zinc supplementation, 20 mg/day

This study will look at whether adding daily oral zinc supplements to targeted therapy plus immunotherapy may help people with unresectable or advanced hepatocellular carcinoma, a common type of liver cancer. About 60 participants will take part in this study. Participants will be randomly assigned to one of three groups. One group will receive targeted therapy plus immunotherapy without extra zinc. The other two groups will receive the same type of cancer treatment together with either 20 mg or 30 mg of elemental zinc each day. The main goal is to compare how many participants have their tumors shrink or disappear by Week 18. Researchers will also look at tumor response at earlier time points, how long the cancer remains under control, overall survival, and treatment safety. Blood tests will be used to measure zinc and copper levels during the study. Researchers will also study changes in immune cells, including T cells, to better understand whether zinc supplementation may affect the body's immune response to cancer treatment. This study is designed to explore whether oral zinc supplementation is safe and may improve the effects of targeted therapy plus immunotherapy. The results may help determine which zinc dose should be studied in larger clinical trials.