Just spent a good deal of yesterday in a hospital exactly like that. No guns allowed.
This was the maternity building where my first grandchil' was being born.
I wrestled with the issue a while ~ since the signs were very large and couldn't be missed. At the same time the standard EXIT signs were in red and couldn't be read ~ must talk to the signage authority there.
There were a number of oxygen bottles around, and locked areas with various sorts of medications and materials used in surgery. That would include ethers, alcohols, ........... Hmm?
What is the probability of small arms fire igniting explosive aromatic hydrocarbons and alcohols?
Do we have a ban on "potential violence" or "potential fire" in a hazardous area?
Maybe some hospital professionals would like to address this one.