I'd say unless it's a service dog (with a visual indicator) you are likely to be hastled about it.
If your dog is in a carrier, you should be fine. (Wow a Bulldog tho 🤔) I don't know what the rule is for the mall, but I haven't experienced or witnessed a situation where they've asked for a dog to remain outside. Give it try! Come back and let us know😉
Thanks! Your answer is awaiting moderation.