As pointed out in a previous question's answer, you may be forced to play an Outpost or Possession while you are possessing someone else's hand, despite the deck's owner getting to play the Outpost/Possession hand and not you.
However, Outpost creates an ambiguity. Outpost's rules say to play another hand immediately after this one. However, due to the Possession, the player's normal turn has not yet taken place.
Does the player take their normal turn next or the Outpost turn next?