Ask and chances are you'll be given permission. If not, no harm done just vape outside.
It's their establishment. So, it doesn't matter that it's not smoking. If they don't approve, so be it.
If you're approved, don't make a show of it. Be discreet so other patrons hopefully won't be concerned about something they may not understand. By that, I do not mean you should be sneaky or try to hide. Just not to blow big plumes of vape up, LOL.