A 25-year-old male presents with fever, neck stiffness, and a rash, raising suspicion of bacterial meningitis caused by Neisseria meningitidis. A cerebrospinal fluid (CSF) sample is analyzed using a rapid molecular technique to confirm the pathogen’s presence. How does Polymerase Chain Reaction (PCR) assist in diagnosing this patient’s Neisseria meningitidis infection?