A Study to Evaluate the Efficacy and Safety of Sacituzumab Tirumotecan (MK-2870) Maintenance Treatment Versus Standard of Care in Participants With Platinum-sensitive Recurrent Ovarian Cancer (MK-2870-022/TroFuse-022/ENGOT-ov84/GOG-3103)

Inclusion Criteria: * Has locally advanced or metastatic, histologically confirmed epithelial ovarian, primary peritoneal, or fallopian tube carcinoma of certain histologies * Has received 4 or more cycles of platinum-based doublet chemotherapy in first-line and a total of 6 to 8 cycles of carboplatin-based doublet chemotherapy in second-line setting for ovarian cancer (OC) * Has platinum-sensitive epithelial OC * Has provided tissue of a tumor lesion that was not previously irradiated * Human immunodeficiency virus (HIV)-infected participants must have well controlled HIV on antiretroviral therapy * Participants who are hepatitis B surface antigen positive are eligible if they have received hepatitis B virus (HBV) antiviral therapy for at least 4 weeks, and have undetectable HBV viral load prior to allocation (Part 1) or randomization (Part 2) * Participants with a history of hepatitis C virus (HCV) infection are eligible if HCV viral load is undetectable at screening * Has an ECOG performance status of 0 or 1 assessed within 7 days before allocation (Part 1) or randomization (Part 2) Exclusion Criteria: * Has nonepithelial cancers (germ cell tumors and sex cord-stromal tumors), low-grade serous tumors, low-grade endometrioid tumors, borderline tumors (low malignant potential), mucinous, seromucinous that is predominantly mucinous, malignant Brenner's tumor and undifferentiated carcinoma * Has platinum-resistant OC or platinum-refractory OC * Has history of documented severe dry eye syndrome, severe Meibomian gland disease and/or blepharitis, or severe corneal disease that prevents/delays corneal healing * Has active inflammatory bowel disease requiring immunosuppressive medication or previous history of inflammatory bowel disease (e.g. Crohn's disease, ulcerative colitis, or chronic diarrhea) * Has uncontrolled, significant cardiovascular disease or cerebrovascular disease * Has a history of (noninfectious) pneumonitis/interstitial lung disease (ILD) that required steroids, has current pneumonitis/ILD, or has suspected pneumonitis or ILD that cannot be ruled out by standard diagnostic assessments at Screening * HIV-infected participants with a history of Kaposi's sarcoma and/or Multicentric Castleman's Disease * Has received more than 2 prior lines of systemic therapy for OC * Has received prior systemic anticancer therapy within 3 weeks or 5 half-lives (whichever is shorter) before allocation (Part 1) or randomization (Part 2) * Has received prior radiotherapy within 2 weeks of allocation (Part 1) or randomization (Part 2), or has radiation related toxicities, requiring corticosteroids * Has an additional malignancy that is progressing or has required active treatment within the past 3 years * Has active central nervous system (CNS) metastases and/or carcinomatous meningitis * Has an active infection requiring systemic therapy * Has active or ongoing stomatitis