One way of reducing anxiety is to take the initiative and talk to other people first. This is paradoxical because it seems that taking the initiative would cause more anxiety. Try it, though, and you'll find that your anxiety goes down when you take the initiative and greet other people first. This is because you've taken control of your emotions, and the rational you has DONE something that directly opposes social anxiety. It's what you DO that changes your life.
https://www.socialanxietyinstitute.org/avoidance-our-worst-enemy