Perhaps it makes sense to start with defining just how extensive a renovation is being considered. Is this a basic cleanup and reorganization or a gut and rebuild? There is a
point between those extremes where building code and
ADA compliance, licensed professionals,
etc. become relevant. Also, what type of theater is this and what are the roles/positions of the parties involved?
As far as what tjrobb and BillConnorASTC were discussing, I have found that the critical issue is that the text Bill referenced refers to employee work areas. The general public is one thing but what about outside users, contracted service providers, students, volunteers,
etc. that may not be the general public but that are also not employees nor do you necessarily want them being classified as employees? Unless access is limited to actual employees or you are willing to treat anyone accessing the space as an employee then you may want to be careful about applying that exemption.
I have worked on school theaters where the booth was not accessible because there were alternative control positions provided that were accessible. For example, if you have both
FOH and booth positions where a show can be run from either one then you may not need both locations to be accessible, although that is something you'd probably want to verify.