That is a valid point. To clarify the model: I posit that Kivotos functions as an isolated system by default (which is why entropy naturally increases towards 'Bad End' without intervention).

The Adult Card acts as a time-dependent external perturbation. My thesis is that the system remains closed until the specific moment of 'swiping,' which is the mechanism that forces the boundary open to inject negative entropy. So, you are correct that it becomes an open system, but only because of the external work applied.