If I am at 7 points and my opponent controls both battlefields but I conquer one with a Lucian that has 2 Trinity Forces and 1 Skyfall of Areion, do I win the game?

Yes, you win the game.

When you conquer a battlefield while at 7 points with a unit equipped with two Trinity Forces and one Skyfall of Areion, you trigger the effects of both Trinity Forces and reach the 8th point, winning the game.

How it works:

1. Conquer Action: You perform a "Conquer" action on a battlefield. Because you are at 7 points, the standard point gain from conquering is replaced by drawing two cards (Rule 466.1.b.2).
2. Skyfall of Areion Effect: Skyfall of Areion makes your unit's "Hold" effects also count as "Conquer" effects.
3. Trinity Force Trigger: Because of the Skyfall, the "When I hold" effect of both Trinity Forces now triggers off your conquer action.
4. Chain Resolution: These triggered abilities are placed on the chain. Once all players pass priority, they resolve one by one. Each Trinity Force grants you 1 point.
5. Victory: As soon as the first Trinity Force ability resolves, you gain your 8th point and win the game.

Important Nuances:

• Bypassing Restrictions: The game rule requiring you to score all battlefields in a single turn to reach the final point only applies to the direct point gained from the "Conquer" action itself. Points gained from triggered abilities (like those from Trinity Force) bypass this restriction entirely.
• Skyfall of Areion: As noted in RiftJudge FAQ 8622, Skyfall of Areion's effect does not stack; equipping multiple copies would not provide additional triggers. However, since you have two Trinity Forces equipped, you have two separate triggered abilities to grant you points.
• Winning: You win immediately upon reaching 8 points when the first trigger resolves.