Air conditioning significantly reduces mosquito bites for two main reasons:
Temperature and Humidity
Mosquitoes thrive in warm, humid environments. Air conditioning lowers both temperature and humidity, creating conditions less favorable for mosquitoes. As noted by AHI Toshiba, "Cold, dry air is a distinct turn-off for mosquitoes who prefer warm, damp conditions." https://www.ahi-toshibasa.co.za/news-articles/how-can-your-room-temperature-deter-mosquitoes/ This makes them less active and less likely to bite. A Reddit user corroborated this, stating that while mosquitoes can survive in air-conditioned rooms, their instincts drive them to warmer areas. https://www.reddit.com/r/answers/comments/5ycxvg/what_happens_to_mosquitoes_when_i_turn_on_the_ac/
Air Circulation
Air conditioners circulate air, making it harder for mosquitoes to locate and target humans. The moving air disrupts their flight patterns, preventing them from directly reaching their target. As one source explains, "the moving air inhibits the ability of flying insects to fly in a straight line and hit their target." https://www.ahi-toshibasa.co.za/news-articles/how-can-your-room-temperature-deter-mosquitoes/ This is further supported by a Quora answer which highlights that circulating air makes it difficult for mosquitoes to pinpoint your location. https://www.quora.com/Why-dont-mosquitoes-bite-much-in-AC
Additionally, closed windows, a common practice in air-conditioned spaces, prevent mosquitoes from entering the room altogether. https://www.quora.com/Why-dont-mosquitoes-bite-much-in-AC
In summary, air conditioning reduces mosquito bites by lowering the temperature and humidity, and by making it difficult for mosquitoes to locate and approach their targets due to air circulation and closed windows.