The smartest move is to buy and install your eSIM while you are still home on your own wifi. You scan a QR code or add it through the app, and the eSIM sits on your phone ready to go. It does not start counting data until you switch it on in Korea, so there is no rush and no waste.
Install it a day or two before your flight. That way you have time to check that the new line shows up in your phone settings. When you land at Incheon you only need to flip one switch, not fumble with QR codes while jet lagged.