Logic requires cause and effect. If you break cause and effect, logic means nothing.
If you keep logic, then again: Paradoxes don’t actually exist. At the end of the day, something is true or it’s not. If you’re dealing with something both true and not true, you are literally and quite directly dealing with something unresolved. We fundamentally do not observe unresolved things.
It is conceptually, definitionally, not compatible with observed reality. “Observed reality” literally cannot reference such things. The question itself is nothing but a thought experiment that far too many people fail to execute.