A Clinical Study of MK-1084 With Other Treatments for Non-small Cell Lung Cancer (MK-3475-01F)

Inclusion Criteria: The main inclusion criteria include but are not limited to the following: * Has histologically or cytologically confirmed diagnosis of advanced or metastatic non-squamous non-small cell lung cancer (NSCLC) * Has tumor tissue or circulating tumor deoxyribonucleic acid (ctDNA) that demonstrates the presence of Kirsten rat sarcoma viral oncogene (KRAS) mutation of glycine to cysteine at codon 12 (G12C) mutations * Has documented disease progression after receiving 1-2 prior lines of programmed cell death protein 1 (PD-1)/programmed death-ligand 1 (PD-L1) therapy and platinum-based chemotherapy * Provides archival tumor tissue sample of a tumor lesion not previously irradiated * Has provided tissue prior to treatment allocation/randomization from a newly obtained biopsy of a tumor lesion not previously irradiated * Participants with human immunodeficiency virus (HIV) infection must have well-controlled HIV on antiretroviral therapy (ART) per protocol Exclusion Criteria: The main exclusion criteria include but are not limited to the following: * Has a diagnosis of small cell lung cancer or, for mixed tumors, presence of small cell elements * Has clinically severe pulmonary compromise resulting from intercurrent pulmonary illnesses * Has known active central nervous system (CNS) metastases and/or carcinomatous meningitis * Has active inflammatory bowel disease requiring immunosuppressive medication or previous history of inflammatory bowel disease * Has evidence of any leptomeningeal disease * Has uncontrolled or significant cardiovascular disorder or cerebrovascular disease prior to allocation/randomization * Has one or more of the following ophthalmological conditions: a) Clinically significant corneal disease b) history of documented severe dry eye syndrome, severe Meibomian gland disease and/or blepharitis * HIV-infected participants with a history of Kaposi's sarcoma and/or Multicentric Castleman's Disease * Has received previous treatment with an agent targeting KRAS * Has received a live or live-attenuated vaccine within 30 days before the first dose of study intervention * Has a diagnosis of immunodeficiency or is receiving chronic systemic steroid therapy or any other form of immunosuppressive therapy within 7 days prior to the first dose of study intervention * Has known additional malignancy that is progressing or has required active treatment within the past 3 years * Has history of (noninfectious) pneumonitis/ interstitial lung disease (ILD) that required steroids or has current pneumonitis/ILD * Has an active infection requiring systemic therapy * Have not adequately recovered from major surgery or have ongoing surgical complications