  We construct models in which there are stationarily many structures that
exhibit different variants of internal approachability at different levels.
This answers a question of Foreman. We also show that the approachability
property at $\mu$ is consistent with having a distinction of variants of
internal approachability for stationarily many $N\in[H(\mu^+)]^{\mu}$. This is
obtained using a new version of Mitchell Forcing.
