The purpose of this study is to assess whether the combination of AAA617 (administered for 6 cycles at a dose of 7.4 GBq (200 mCi) +/- 10%) and ARPI improves radiographic progression-free survival (rPFS) or time to death compared to AAA617 alone in PSMA-positive mCRPC patients who were previously treated and progressed on ARPI in the biochemical recurrence (BCR)-non metastatic hormone sensitive prostate cancer (mHSPC), mHSPC, or non-metastatic Castration Resistant Prostate Cancer (nmCRPC) setting and have not previously received a taxane-containing regimen in the castrate resistant prostate cancer (CRPC) setting.