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Ask if they’ll sign one of these:
I thought at first it might be an Ohio law thing about places that serve alcohol, but Giffords, of all groups, gives us an “out”:
Ohio also generally prohibits possession of firearms in establishments licensed to sell liquor in rooms or open air arenas where alcohol is being served on premises, although this restriction generally does not apply to people who are licensed to carry handguns or otherwise eligible for permitless carry, if they are not consuming alcohol or under the influence of alcohol or drugs, and if the establishment does not restrict firearm carrying.
I see some comments suggest carrying anyway and they’ll never know. I won’t for two reasons that have nothing to do with their property rights: First, anyone telling me up front they don’t trust me and would rather see me dead than armed won’t get a dime from me, and second, advertising up front that they’re a gun-free zone attracts dangerous scumbags I’d rather not expose myself and my family to.