First, unlock access the Luck and Probability area, and have a Level 5 Keycard. You will unlock it automatically through normal story progression. Travel to the Luck and Probability area in the Research Sector, and unlock the Level 5 Keycard door to find a roulette table inside. Then, win a game of roulette. To do that, you need to be as lucky as possible. There are some nearby clues; read the notes to learn more about luck all around the world. To win at roulette, complete the following tasks:

Point the Horseshoe up.
Take the 4-Leaf Clover and place it in the planter near the roulette wheel.
Turn on all the lights in the room with the roulette wheel.
Use kinesis to grab the gold fish and move it close to the roulette wheel. Hold it when spinning the wheel, or place it close by.
Activate the cat statue so that the paw is moving up and down.

If you have all the lucky items properly aligned, interact with the wheel to win and get the Gold Suit outfit and +2 AP. You can change suits at the Central Executive Control Point.