An Open-label Study Comparing Lutetium (177Lu) Vipivotide Tetraxetan Versus Observation in PSMA Positive OMPC.

Inclusion criteria

• . Histologically confirmed prostate cancer prior to randomization
• . Participants must have biochemically recurrent disease after definitive treatment to prostate by Radical Prostatectomy ((RP), (alone or with post-operative radiation to prostate bed/pelvic nodes)) or External beam Radiation Therapy (EBRT), (prostate alone or prostate with seminal vesicle and/or pelvic nodes) and/or brachytherapy prior to randomization. Biochemical recurrence (BCR) is defined as: nadir PSA + 2 ng/mL post XRT (if participant received-radiation therapy to intact prostate) and PSA \> 0.2 ng/mL and rising post RP (with or without post-operation Radiation Therapy (RT))
• . Participants must have OMPC with 1-5 PSMA -positive metastatic lesions on screening PSMA PET/CT scan (with either gallium (68Ga) gozetotide or piflufolastat (18F)) as visually assessed by BIRC. For definition of PSMA PET positivity, please refer to Section 8.1 and the Imaging Manual. Metastatic lesions may include regional/pelvic lymph nodes (N1), distant lymph nodes (M1a), bone (M1b), lung and others visceral (M1c) except liver and brain classified using American Joint Committee on Cancer (AJCC) 8. When counting the number of oligometastatic lesions, each lesion is counted as distinct metastasis irrespective of its anatomical location (e.g., one pelvic and one extra-pelvic lymph node will be counted as two metastatic lesions)