Inclusion Criteria:

          1. Male aged 18 years or older.

          2. Histological, pathological, and/or cytological confirmation of adenocarcinoma of the
             prostate.

          3. Ineligible or averse to chemotherapeutic treatment options.

          4. Patients must have progressive mCRPC at the time of consent based on at least 1 of the
             following criteria:

               1. Serum/plasma PSA progression defined as increase in PSA greater than 25% and >2
                  ng/mL above nadir, confirmed by progression at 2 time points at least 3 weeks
                  apart.

               2. Soft-tissue progression defined as an increase ≥20% in the sum of the diameter
                  (SOD) (short axis for nodal lesions and long axis for non-nodal lesions) of all
                  target lesions based on the smallest SOD since treatment started or the
                  appearance of one or a new lesion.

               3. Progression of bone disease: evaluable disease or one new bone lesion by bone
                  scan

          5. Previous treatment with one ARAT (abiraterone or enzalutamide or darolutamide or
             apalutamide) in either the CSPC or CRPC setting.

          6. PSMA-PET scan (i.e., 68Ga-PSMA-11 or 18F-DCFPyL) positive as determined by the
             sponsor's central reader.

          7. Castrate circulating testosterone levels (<1.7 nmol/L or <50 ng/dL).

          8. Adequate organ function, independent of transfusion:

             a. Bone marrow reserve: i. White blood cell (WBC) count ≥2.5 × 109/L OR absolute
             neutrophil count (ANC) ≥1.5 × 109/L.

             ii. Platelets ≥100 × 109/L. iii. Hemoglobin ≥8 mmol/L. b. Liver function: i. Total
             bilirubin ≤1.5 × institutional upper limit of normal (ULN). For patients with known
             Gilbert's syndrome, ≤3 × ULN is permitted.

             ii. ALT or AST ≤3.0× ULN. c. Renal function: i. Serum/plasma creatinine ≤1.5 × ULN or
             creatinine clearance ≥50 mL/min based on Cockcroft-Gault formula.

             d. Albumin ≥30 g/L.

          9. Human immunodeficiency virus-infected patients who are healthy and have a low risk of
             acquired immunodeficiency syndrome-related outcomes are included in this trial.

         10. For patients who have partners of childbearing potential: Partner and/or patient must
             use a method of birth control with adequate barrier protection, deemed acceptable by
             the principal investigator during the study and for 6 months after last study drug
             administration.

         11. Willing to initiate ARAT therapy (either enzalutamide or abiraterone), pre-specified
             by investigator, if randomized to Treatment Arm B.

         12. ECOG performance status 0 to 1.

         13. Willing and able to comply with all study requirements and treatments (including 177Lu
             PNT2002) as well as the timing and nature of required assessments.

         14. Signed informed consent.

        Exclusion Criteria:

        Patients are excluded from the study if any of the following criteria apply:

          1. Prostate cancer with known significant (>10%) sarcomatoid or spindle cell or
             neuroendocrine components. Any small cell component in the cancer should result in
             exclusion.

          2. Prior treatment for prostate cancer ≤28 days prior to randomization, with the
             exclusion of first-line local external beam, ARAT, luteinizing hormone-releasing
             hormone (LHRH) therapy, or non-radioactive bone-targeted agents.

          3. Any prior cytotoxic chemotherapy for CRPC (e.g., cabazitaxel or docetaxel);
             chemotherapy for hormone-sensitive prostate cancer (HSPC) is allowed if the last dose
             was administered >1 year prior to consent.

          4. Prior treatment with systemic radionuclides (e.g. radium-223, rhenium-186, strontium
             89).

          5. Prior immuno-therapy, except for sipuleucel-T.

          6. Prior PSMA-targeted radioligand therapy, e.g., Lu-177-PSMA-617, I 131-1095.

          7. Prior poly ADP ribose polymerase (PARP) inhibitor for prostate cancer.

          8. Patients who have had 2 or more lines of ARATs.

          9. Patients receiving bone-targeted therapy (e.g. denosumab, zoledronic acid) must be on
             stable doses for at least 4 weeks prior to randomization.

         10. Administration of an investigational agent ≤60 days or 5 half-lives, whichever is
             shorter, prior to randomization.

         11. Major surgery ≤30 days prior to randomization.

         12. Estimated life expectancy <6 months as assessed by the principal investigator.

         13. Presence of liver metastases >1 cm on abdominal imaging.

         14. A superscan on bone scan defined as a bone scan that demonstrates markedly increased
             skeletal radioisotope uptake relative to soft tissues in association with absent or
             faint genitourinary tract activity71.

         15. Use of opioids for cancer-related pain ≤30 days prior to consent.

         16. Known presence of central nervous system metastases.

         17. Contraindications to the use of planned ARAT therapy.

         18. Active malignancy other than low-grade non-muscle-invasive bladder cancer and non
             melanoma skin cancer.

         19. Concurrent illness that may jeopardize the patient's ability to undergo study
             procedures.

         20. Serious psychological, familial, sociological, or geographical condition that might
             hamper compliance with the study protocol and follow-up schedule. Patients that travel
             need to be capable of repeated visits even if they are on the control arm.

         21. Symptomatic cord compression, or clinical or radiologic findings indicative of
             impending cord compression.

         22. Concurrent serious (as determined by the investigator) medical conditions, including,
             but not limited to, New York Heart Association class III or IV congestive heart
             failure (see 12.1 Appendix 1), unstable ischemia, uncontrolled symptomatic arrhythmia,
             history of congenital prolonged QT syndrome, uncontrolled infection, known active
             hepatitis B or C, or other significant co-morbid conditions that in the opinion of the
             investigator would impair study participation or cooperation.