noun
vestibule
VES-tih-byool/ˈvestɪbjuːl/
An enclosed entrance space leading into a larger interior.
The vestibule separates the outer door from the main hall.

Etymology
The Latin word named an enclosed forecourt between a house and the street. That entrance space became the model for an interior hall before a larger room; its deeper origin is unknown.
In context
So this is a door leading to the vestibule that would have then led to the actual presidential box.
More examples
- A small vestibule separates the street from the main hall.
- The church's vestibule fills with arriving visitors.
- She opens the inner door from the vestibule.
Forms
vestibule · vestibules