I am officially an immigrant! Or something.
Not only was my visa approved, but I also received the unicorn of E2 visas. On the Korean visa application there is no place to request single or multiple entry and most E2 applicants are automatically assigned single entry, which means they can’t leave the country until they have an official alien card. Alien cards are required but take about a month to process after initial entry.
Somehow the Korean powers that be granted me multiple entry so I am free to come and go as I please regardless of a separate ID.