Does Renata Glasc - Chem-Baroness player win if they are at 4 points and then conquer for fifth point with 3 gold?

No, you do not win the game in this scenario.

According to the RiftJudge FAQ #8524, in a standard game of Riftbound (which is played to 8 points), Chem-Baroness Renata's second ability becomes active when you have 5 points.

Here is the breakdown of your situation:

• Current Score: 4 points.
• Action: You conquer a battlefield to gain your 5th point.
• Result: You reach 5 points. Because you have now reached the threshold of 5 points, the ability becomes active after this point is gained. You are not yet at the Victory Score (8 points), so the game continues.

Regarding your Gold:

• The ability states: "While your score is within 3 points of the Victory Score, your Gold [ADD] an additional [1]."
• In an 8-point game, the threshold is calculated as: (Points needed to win) - 3.
• $8 - 3 = 5$.
• Therefore, your Gold will begin providing the additional energy once you have reached 5 points. Since you only reach 5 points after the conquer action is completed, you would not have had the benefit of that extra energy during the process of conquering that battlefield.