Can I conquer an open battlefield twice in the same round and still win the points?

Ruling: You can only score a battlefield once per turn. If you conquer a battlefield, lose control, then gain control again in the same turn, you don't conquer it again.

Nuances:

• A battlefield is only considered conquered if you can score from it
• You can move to the same battlefield multiple times in a turn
• The once-per-turn scoring limit applies to each battlefield separately