Yikes
SAWHORSE
[1] So would it be different if the 3rd door went to a different tenant space?
[2] Would double doors count as two doors in a vestibule? One of the 2 doors in a vestibule is a double door so it would count as 3 doors in a vestibule and then it would not be two doors in a series.
I believe the intent of the code is that a wheelchair user is not compelled to operate 2 doors simultaneously (holding open one door while attempting to open another door). The 48" dimension matches the length of the clear floor space in ADA 305.3.
One solution is to have the "vestibule" so large (wide) that it has other functions as a real room, instead of just being a vestibule. I've recommended a turnaround space.
If door #3 is a secured space not available to all users, then it becomes even more important to either have the 48" between doors or have a larger room with other functions (including turnaround space).
Again, this is just me interpreting code intent and the narrative info from the US Access Board.