Concealed Carry Permit holders are most law-abidinng group in Virginia.  Unless you station VA State Troopers in every office of every Executive Branch, these are the only "good guys" who may stop a "bad guy with a gun".

Since 1960, all but two of the public mass-shootings have been in gun-free-zones -- like this regulation creates.  This would make state-agency buildings in Virginia less secure.  Do you really want to change an environment where no shootings have ever taken place?

Have you done an anonymous survey of the people who work in these offices to see if they agree with the proposed regulation?