Fallopian Tube Serous Adenocarcinoma

This phase II trial studies the effect of APL-2 when given in combination with either pembrolizumab or pembrolizumab and bevacizumab compared with bevacizumab alone in treating patients with ovarian, fallopian tube, or primary peritoneal cancer that has come back (recurrent) and a buildup of fluid and cancer cells (malignant effusion). APL-2 may limit tumor progression, decrease malignant effusion production, and improve the immune system's response against cancer cells. Immunotherapy with monoclonal antibodies, such as pembrolizumab, may help the body's immune system attack the cancer, and may interfere with the ability of tumor cells to grow and spread. Bevacizumab is a monoclonal antibody that may interfere with the ability of tumor cells to grow and spread. Giving APL-2 together with either pembrolizumab or pembrolizumab and bevacizumab may work better in treating patients with ovarian, fallopian tube, or primary peritoneal cancer and malignant effusion compared to bevacizumab alone.