Study to Evaluate Tulisokibart for Hidradenitis Suppurativa (MK-7240-012)

Inclusion Criteria: * Has signs and symptoms of hidradenitis suppurativa (HS) for ≥6 months prior to Screening and a clinical diagnosis of HS at Screening * Has moderate or severe HS defined as a total combined number of ≥ 5 abscesses and/or inflammatory nodules, with HS lesions present in ≥ 2 distinct anatomical areas and ≥ 1 anatomic area of HS involvement characterized as Hurley Stage II or III * Has a history of inadequate response to a course of systemic antibiotics for treatment of HS or intolerance to or has a contraindication to systemic antibiotics for treatment of HS * Has ≤20 draining tunnel count at Screening and Randomization Exclusion Criteria: * Has other active skin conditions that may, in the judgment of the investigator, interfere with the assessment of HS * Has any immune-mediated inflammatory condition that is not well controlled and which may potentially require biologic therapy * Has a transplanted organ and requires continued systemic immunosuppression * Has a history of cancer (except fully treated nonmelanoma skin cancers or cervical carcinoma in situ after complete surgical removal) and is disease free for \<5 years * Has had a diagnostic evaluation suggestive of malignancy (eg, chest or breast imaging) and the possibility of malignancy cannot be reasonably excluded following additional clinical assessments * Has a known infection with hepatitis B virus (HBV), hepatitis C virus (HCV), or human immunodeficiency virus (HIV) * Has any active infection * Has active tuberculosis * Has had major surgery within the past 3 months or has a major surgery planned during the study * Has a history of clinically significant drug or alcohol abuse within the past 6 months * Has prior exposure to tulisokibart * Has undergone laser therapy or surgical procedures for their lesions within the past 6 weeks or is planning to have laser therapy or surgical procedures for lesions during participation in the study * Has known allergies, hypersensitivity, or intolerance to tulisokibart or its excipients