The OP did not indicate where the press box is located and if it is for an assembly occupancy. If it is then he may have bigger issues with the doors and their ability to meet accessibility requirements.
Required accessible route to a press box is determined by
1104.3.2 Press boxes.
Press boxes in a building, room or space used for assembly purposes shall be on an accessible route.
Exceptions:
1. An accessible route shall not be required to press boxes in bleachers that have a single point of entry from the bleachers, provided that the aggregate area of all press boxes for each playing field is not more than 500 square feet (46 m2).
2. An accessible route shall not be required to free-standing press boxes that are more than 12 feet (3660 mm) above grade provided that the aggregate area of all press boxes for each playing field is not more than 500 square feet (46 m2).