What’s the name of the old Korean song in EP. 1 of K-drama Tastefully Yours (당신의맛)?

The song is so good with a 20s/30s vibe, but I’m having no luck searching for the song’s name. I’ve tried Shazam and google search but still couldn’t find it. Would much appreciate any help!

Below is a link to a video clip in which the song is playing:

https://www.reddit.com/r/WhatsThisSong/comments/1konecu/what_song_is_playing_on_the_record_player_in_the/