Earlier quoted context omitted.
> You know that when a public pace of business has "No dogs" sign and you enter it, that you entered into a contract with that business You are incorrect about that, which probably invalidates your other arguments. A condition of entry is not a contract. If you disobey the condition of entry then you have not broken a contract, and nothing changes between you and the business owner. They can ask you to leave and they…
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A unilateral contract requires some kind of "promise accepted through performance"
I note that this does appear to be different under Australian law, if that is where you're from, although it's still not a unilateral contract.