Can a player conquer and score the same battlefield multiple times in a single turn by moving units in and out of it?

Ruling: Each player may only score a battlefield once per turn, though both players may each score the same battlefield in a single turn.

Nuances:

• Moving a unit out of a battlefield after conquering it and then moving back to that battlefield in the same turn does not allow you to score it again
• If you charm an enemy unit onto an empty battlefield you previously conquered this turn, your opponent can score it (since they haven't scored it yet this turn)