Alright, I finally found that elusive McDonald’s in Itaewon! I got a Double Bulgogi Burger meal for just ₩5500 (about $5) and it was delicious! Not only that, my Coke came in a hard plastic (not-disposable) glass!
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I know that this isn’t “real” Korean food, but it is unique to Korean McDonald’s and “bulgogi” is a Korean-seasoned beef (and…I like McDonald’s).