(VA) My bosses are not air conditioning our building but giving themselves AC in their office.

I work for a theatre chain in VA and we've had complaints all year about the lack of air conditioning. At first we were told "it's broken" then a manager told me in private that the GM wants to save money by not keeping AC on in the lobby. I went into their office recently and they keep it a cool 68-70 while the lobby is around 80-83. This is before a large rush of people fill up the lobbies and the popcorn machines really get working. Is there anything OSHA or DOL can do? I tried googling but didn't find much on if VA requires AC for indoor employees. Could I request an inspection through VOSH?