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The purpose of this study is to learn about the effects of study medicine (PF-08634404) when given alone or with another antibody (ipilimumab) for the treatment of a type of liver cancer called hepatocellular carcinoma (HCC) that is either locally advanced (spread to nearby tissues) or has spread to other parts of the body. To join the study, participants must meet the following conditions: * Be 18 years or older. * Have locally advanced or metastatic HCC. * Is not a candidate for complete surgical or loco-regional therapies. * Have not received any whole-body treatment for HCC. Participants will receive PF-08634404 either alone or in combination with ipilimumab. The medicine will be given through intravenous (IV) infusions, which means it will be administered directly into a vein. All treatments will take place at clinical trial sites, where trained medical staff will monitor participants during and after each visit.

Biological: PF-08634404, Biological: Ipilimumab

This phase III trial compares the effect of immunotherapy (IO) with stereotactic body radiation therapy (SBRT) to IO alone in treating patients with liver cancer (hepatocellular cancer) that may have spread from where it first started to nearby tissue, lymph nodes, or distant parts of the body (advanced). The usual approach is treatment with IO-based drug combinations, such as atezolizumab and bevacizumab, durvalumab and tremelimumab, or ipilimumab and nivolumab. IO with monoclonal antibodies, such as durvalumab, tremelimumab, atezolizumab, nivolumab and ipilimumab, may help the body’s immune system attack the tumor, and may interfere with the ability of tumor cells to grow and spread. Bevacizumab is in a class of medications called antiangiogenic agents. It works by stopping the formation of blood vessels that bring oxygen and nutrients to tumor. This may slow the growth and spread of tumor cells. Radiation therapy uses high energy x-rays, particles, or radioactive seeds to kill cancer cells and shrink tumors. SBRT is a type of external radiation therapy that uses special equipment to position a patient and precisely deliver radiation to tumors in the body (except the brain). The total dose of radiation is divided into smaller doses given over several days. This type of radiation therapy helps spare normal tissue. Giving IO with SBRT may be more effective than IO alone in helping patients with advanced hepatocellular cancer live longer.

Biological: Atezolizumab, Biological: Bevacizumab, Procedure: Biospecimen Collection, Procedure: Computed Tomography, Biological: Durvalumab, Biological: Ipilimumab, Procedure: Magnetic Resonance Imaging, Biological: Nivolumab, Procedure: Positron Emission Tomography, Other: Questionnaire Administration, Radiation: Stereotactic Body Radiation Therapy, Biological: Tremelimumab