Redbrambleback conquer a battlefield. He is equipped with Skyfall of Areion and Trinity Force. How many points does his controller get?

You score a total of 3 points when conquering with Red Brambleback equipped with Skyfall of Areion and Trinity Force.

The Interaction Breakdown:

1. Standard Conquer Point: Performing a "Conquer" action grants you 1 point according to game rules (Rule 464.1).
2. Skyfall of Areion: This gear modifies your unit’s abilities, causing the "When I hold..." effect of Trinity Force to also function as a "When I conquer..." effect.
3. Trinity Force: Now that it has been modified to function as a conquer effect, it triggers when you conquer the battlefield. This provides 1 point.
4. Red Brambleback: Its ability states: "Your conquer effects for conquering here trigger an additional time." This causes the conquer trigger from Trinity Force (modified by Skyfall) to trigger a second time, granting you another 1 point.

Point Tally:

• 1 point from the standard game action of conquering the battlefield.
• 1 point from the first resolution of the Trinity Force trigger.
• 1 point from the second resolution of the Trinity Force trigger (caused by Red Brambleback).

Total: 3 points

Note: This assumes you have not already scored this battlefield during the current turn, as you can only score a battlefield once per turn (Rule 465).