Study of Opevesostat (MK-5684) Versus Alternative NHA in mCRPC (MK-5684-003)

Inclusion Criteria: * Has histologically- or cytologically-confirmed adenocarcinoma of the prostate without small cell histology. * Has prostate cancer progression while on androgen deprivation therapy (or post bilateral orchiectomy) within 6 months before Screening * Has current evidence of distant metastatic disease (M1 disease) documented by either bone lesions on bone scan and/or soft tissue disease by computed tomography/magnetic resonance imaging (CT/MRI). * Has disease that progressed during or after treatment with 1 novel hormonal agent (NHA) * Has received 1 but no more than 2 taxane-based chemotherapy regimens for metastatic castration-resistant prostate cancer (mCRPC) and has had progressive disease (PD) during or after treatment * Has ongoing androgen deprivation with serum testosterone \<50 ng/dL (\<1.7 nM) * Has provided tumor tissue from a fresh core or excisional biopsy from soft tissue not previously irradiated * Has an Eastern Cooperative Oncology Group (ECOG) performance status of 0 or 1 assessed within 7 days of randomization * Has had prior treatment with PARPi or were deemed ineligible to receive treatment by the investigator or have refused PARPi treatment * Has received prior 177Lu-PSMA-617 or were deemed ineligible to receive 177Lu-PSMA-617 treatment by the investigator or refused 177Lu-PSMA-617 treatment * Participants who have not received cabazitaxel can be enrolled if they are ineligible for cabazitaxel treatment as determined by the investigator…