The correct answer is option 3: HIV-AIDS.

HIV-AIDS does not transmit through fine droplets coming out from the mouth or nose of an infected person. It is a sexually transmitted disease or can be spread through contact with infected blood, such as through sharing needles or from mother to child during pregnancy, childbirth or breastfeeding.

On the other hand, pneumonia, COVID-19, and tuberculosis are respiratory infections that can be transmitted through fine droplets that come out from the mouth or nose of an infected person.