The scenario is: you’ve managed to receive ₩500,000,000 (~$337,265) at a Korean lottery (the catch is, only given in cash) which is delivered to you in two duffel bags. However will there be issues when returning back to the USA with that amount of money since it’s bundles of cash via foreign currency when the cap is $10,000 for undeclared amounts?
Well, if you win that much then you must go to the lottery’s bank (NH) to receive it. As most banks have foreign remittance services I’m sure they will figure out a way to send it abroad for you. Ask for documentation to show your home bank where did the money came from and I think you’re good.
Scratch ticket? Congratulations ^^