The purpose of this study is to evaluate the efficacy of \[177Lu\]Lu-PSMA-617 over a change of androgen receptor-directed therapy (ARDT) treatment in prolonging radiographic progression free survival (rPFS) in Chinese metastatic castration-resistant prostate cancer patients, who were previously treated with another ARDT as last treatment and who have not been exposed to a taxane-containing regimen in castrate resistant prostate cancer (CRPC) or hormone-sensitive prostate cancer (HSPC) settings and who are considered appropriate for delaying taxane-based chemotherapy. The primary endpoint of rPFS will be assessed via blinded independent centralized review of radiographic images provided by the treating physician and as outlined in Prostate Cancer Working Group 3 (PCWG3) guidelines.