A Phase 2 Open Label Study of BA3021 in Patients With Recurrent or Metastatic Squamous Cell Carcinoma of the Head and Neck

Inclusion Criteria: * The eligible primary tumor locations are oropharynx, oral cavity, hypopharynx, and larynx. Patients may not have a primary tumor site of nasopharynx (any histology). * Neoadjuvant/induction setting (Cohort N1): Patient with newly diagnosed Stage III SCCHN who are eligible for induction therapy with resectable tumors. No prior treatments, including surgery, radiation, or systemic treatment, for SCCHN are allowed. * Recurrent or metastatic setting: Histologically or cytologically confirmed recurrent or metastatic SCCHN Stage III/IV and not amenable to local therapy with curative intent (surgery or radiation therapy with or without chemotherapy). * First-line - Combination Cohorts (C1 and C2): Patients must have NO prior systemic therapy administered in the locally recurrent or metastatic setting. Previous treatments with PD-1/L1 inhibitor or anti-CTLA-4 treatment are not allowed. * Second-line (Combination Cohort C3) and Second-line+ (Monotherapy Cohorts M1 and M2): Patients must have documented treatment failure of no more than one approved PD-1/L1 inhibitor either administered alone or in combination. Patients must have measurable disease. * Age ≥ 18 years * Adequate renal function * Adequate liver function * Adequate hematological function * Have an Eastern Cooperative Oncology Group (ECOG) performance status of 0 or 1. Exclusion Criteria: * Patients must not have a history of ≥ Grade 3 allergic reactions to mAb therapy as well as known or suspected allergy or intolerance to any agent given during this study. * Patients must not have known human immunodeficiency virus (HIV) infection, active hepatitis B and/or hepatitis C. * Patients must not be women who are pregnant or are breast feeding.