Can you win by conquest if you leave a battlefield after scoring it, and can you score/conquer the same battlefield multiple times in one turn?

Ruling: To win by conquest, you must score both battlefields in one turn (not necessarily control both). You can only score each battlefield once per turn, and conquest effects only trigger when you score.

Sequence:

• You can hold battlefield A (scoring it) then conquer battlefield B in the same turn to win
• OR conquer battlefield A, then conquer battlefield B (regardless of whether you still control A)
• Scoring on your opponent's turn is possible if: you don't currently control the battlefield, haven't scored it this turn, and gain control of it

Nuances:

• Leaving a battlefield after scoring it does not prevent a conquest victory, as long as you score both battlefields in the same turn
• You cannot score the same battlefield twice in one turn, even if you lose and regain control
• Conquest effects only activate when you score, not when you simply gain control