Anyplace here that sells alcohol, even Circle-K and the grocery stores is a huge no-go for firearms. The penalties are far greater than just going into say, a shoe store that has posted a sign.
In Ohio you can’t carry in a place that serves alcohol, nor can you carry in some other places which includes places that are posted “no guns”
You can carry in a place like Circle-K or the grocery that merely sells alcohol unless the place is posted “no guns” or is serving alcohol, like a grocery that is having a wine tasting.