[kabar]

As much as I dislike the policy, it is their store, they can run it as they wish.

Can they really? In a conceal carry state, on what basis could they prevent someone from entering the store? Starbucks shouldn't be allowed to impose their own laws. Can they decide to discriminate on the basis of race or sex?

[svcw]

In AZ there are signs that say “no weapons”.
Yes, they can make to policy and you don’t have to go their.