If you kill your own unit in a battlefield after scoring a hold point, can you conquer that same battlefield in the same turn?

Ruling: You can move to and conquer the battlefield in the same turn after scoring a hold point there, but you will not score an additional point or trigger any conquer abilities.

Nuances:

• You can score each battlefield only once per turn
• If you've already scored a battlefield on any turn (yours or opponent's), conquering it again that turn triggers no conquer effects and awards no points
• You can always move to a battlefield regardless of whether you've scored there
• This applies whether the battlefield becomes uncontested due to killing your own unit or your opponent killing your unit