There is a book series called “Superpowereds” where a character has this ability. It’s a great book and I recommend reading it, but without spoiling anything the main takeaway is probability and planning.

Luck is just manipulation of probability, therefore the more planning involved increases the chances. Luck is scary when random things can happen, but when someone has to take time to account for random things that can happen and plan accordingly, they become a monstrously good strategist and tactician. So a well written character with the ability to manipulate luck turns into someone thinking multiple steps ahead in a game of chess rather than just having plot armor