The hospital cured his pneumonia, but the bill — for an eye-popping $44 million — made him sick. Unemployed doorman Alexis Rodriguez couldn’t believe his eyes when he opened an envelope from Bronx-Lebanon Hospital last week and saw what he appeared to owe. “I almost had an asthma attack,” said Rodriguez, 28, just one of several hundred patients to receive absurdly inflated bills because of a “system error.”