Researchers want to learn if using a study medicine called MK-1084 can help treat NSCLC. MK-1084 is a type of treatment called targeted therapy for the Kirsten rat sarcoma viral oncogene homolog (KRAS) G12C gene change. The goal of this study is to learn about the safety of MK-1084 and to learn how many people have the cancer get smaller or go away during the study treatment.

DRUG: MK-1084

Oral Administration

BIOLOGICAL: Pembrolizumab

Intravenous administration

BIOLOGICAL: Cetuximab

Intravenous administration

DRUG: Carboplatin

Intravenous administration

DRUG: Pemetrexed

Intravenous administration

• Percentage of Participants with a Dose Limiting Toxicity (DLT)

• Percentage of Participants who Experience at Least One Adverse Event (AE)

• Percentage of Participants who Discontinue Study Intervention Due to an AE

• Objective Response Rate (ORR) per Response Evaluation Criteria In Solid Tumors (RECIST) 1.1 as assessed by Blinded Independent Central Review (BICR)

The main inclusion criteria include but are not limited to the following:

• Has histologically or cytologically confirmed diagnosis of advanced or metastatic nonsquamous 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 homolog (KRAS) G12C mutations
• Can provide an archival tumor tissue sample or newly obtained core, incisional, excisional biopsy of a tumor lesion not previously irradiated
• Has recovered to ≤Grade 1 or baseline from any Adverse events (AEs) due to previous anticancer therapies and/or ≤Grade 2 neuropathy and/or endocrine-related AEs adequately treated with hormone replacement
• Has well controlled human immunodeficiency virus (HIV) on antiretroviral therapy (ART) if HIV-infected
• Has undetectable hepatitis B (HBV) viral load and have received HBV antiviral therapy for at least 4 weeks if hepatitis B surface antigen (HBsAg) positive
• Has undetectable hepatitis C (HCV) viral load if HCV-infected

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 HIV-infection with a history of Kaposi's sarcoma and/or Multicentric Castleman's Disease
• Has active inflammatory bowel disease requiring immunosuppressive medication or previous clear history of inflammatory bowel disease
• Has uncontrolled, clinically significant cardiovascular disease or cerebrovascular disease, including New York Heart Association Class III or IV congestive heart failure, unstable angina, myocardial infarction, uncontrolled symptomatic arrhythmia, prolongation of corrected QT interval corrected for heart rate by Fridericia's formula (QTcF) interval to >470 ms, and/or other serious cardiovascular and cerebrovascular diseases within the 6 months preceding study intervention
• Has received prior systemic anticancer therapy for advanced or metastatic NSCLC
• Has received any prior immunotherapy and was discontinued from that treatment due to a Grade 3 or higher immune-related adverse event (irAE) (except endocrine disorders that can be treated with replacement therapy) or was discontinued from that treatment due to Grade 2 myocarditis or recurrent Grade 2 pneumonitis
• Has received previous treatment with an agent targeting KRAS
• Has received prior systemic anticancer therapy within 4 weeks or 5 half-lives (whichever is shorter) and has not recovered to grade ≤ 1 or baseline from AE associated with anticancer therapy before allocation/randomization
• Has received radiation therapy to the lung that is >30 Gray within 6 months of start of study intervention
• Has a diagnosis of immunodeficiency or is receiving chronic systemic steroid therapy (in dosing exceeding 10 mg daily of prednisone equivalent) or any other form of immunosuppressive therapy within 7 days prior to the first dose of study intervention
• Has a known additional malignancy that is progressing or has required active treatment within the past 3 years
• Has a known active central nervous system (CNS) metastases and/or carcinomatous meningitis
• Has an active autoimmune disease that has required systemic treatment in the past 2 years. Replacement therapy (eg, thyroxine, insulin, or physiologic corticosteroid) is allowed
• Has a history of (noninfectious) pneumonitis/interstitial lung disease that required steroids or has current pneumonitis/interstitial lung disease
• Has a history of stem cell/solid organ transplant
• Has not adequately recovered from major surgery or has ongoing surgical complications