Can you score points from the same battlefield multiple times in one turn, and what counts as 'conquering' a battlefield?

Ruling: You can only score a battlefield once per turn, even if you take control of it multiple times during that turn. However, you can score once per battlefield per turn, meaning you can hold your own battlefield for 1 point and conquer your opponent's battlefield for another point in the same turn.

Sequence:

• When you first successfully attack a battlefield in a turn, you conquer it and score it
• Any subsequent times you take control of that same battlefield in the same turn do not grant additional points
• You can still score other battlefields that same turn

Nuances:

• Taking control of a battlefield multiple times only counts as "conquering" once (the first time you get a point from it)
• If you are at 7 points and successfully attack a battlefield, you have still "conquered" and "scored" it even though you don't receive a point due to the win condition