If it is mandatory to eat lunch with your teammates, then fine. But then it is not a required work break. Most places, unless you are salaried, by law you are required to take a break from work. i.e. it is your time and work cannot dictate what you do during this time. (As long as you come back on time and are still sober :) )
I've used my lunch hour as an opportunity to hit the gym 1-3 times a week. Nothing too intense. But I've been doing this for about a year now and it's amazing how much it has made a difference in my mood especially in the winter. An introvert myself, it also allows me to not have to talk to anyone for a while.