If you are at 7 points with one battlefield controlled, and during your opponent's turn you play Deadbloom Predator via Promising Future to conquer the other battlefield, does this give you the winning point?

Ruling: No, this does not give you the winning point. To win through conquer, you must score both battlefields during your own turn, not during your opponent's turn.

Nuances:

• Time Warp (if played from Promising Future) resolves completely before the showdown begins
• The extra turn from Time Warp is added after the end of the current turn, so the showdown proceeds as normal first