Minjee, who finished runner-up in 2021, was aiming for consecutive victories after coming to Korea fresh from her ninth LPGA Tour win at the Queen Kroger City Championship just two weeks prior.
She had a chance to seal another victory in the second playoff hole but missed her par putt from five feet and was forced to return to the 18th tee again where she eventually finished second best against Da-yeon.
Despite her playoff defeat, Patty remains confident of her game. Her solo third-place finish marks a significant improvement from her tie for 42nd place last year.
"It was a pretty solid week, really happy with my game," said Patty.
"There were lots of up and down, but I grinded it out and put myself in a good position all week which was encouraging to see."
Da Yeon, Min Jee, and Patty closed with 69, 70, and 68, respectively earlier the day, finishing at the top of the leaderboard on matching eight-under-par 280 total for the tournament.
Jaravee Boonchant of Thailand could not mount a strong challenge on the final day, carding a 74 to tie for 29th with a score of 290. Bianca Pagdanganan of the Philippines signed off with a 75 to end her week tied for 37th with a 293 total.
"I didn't finish the way I wanted to and I struggled a bit with ball-striking. Even though I gave myself opportunities, I couldn't capitalise on them," said Bianca.
"Despite it all, there are many positives, and I see improvements in areas I've been working on. It's rewarding to see my efforts paying off, and with persistence, I believe everything will come together.