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