Ask the venue for a simple salad or something equiverlentequivalent even if it is not on the menu. Restaurants agree to this, as long as they can charge you for some standard menu item. I have done this multiple times in different places due to a family membersmember's food sensitivities.
It would seem unreasonable to try and change everything for your food preference when the event is about team building. Focus on the building and takehave a nice meal before you go and then just snack there on a small substitute meal.
