[TOMT] [Music] Help identifying a musical instrument from a western game score

Hi all. I was listening to a recording of an in-game soundtrack from Red Dead Redemption 2 and an instrument kicked in with a looped melody. I don't know what the instrument is and would like to identify it.

I can't describe the sound of it so please bear with me. The soundtrack changes with the gameplay, hence at some point a melody without the unknown instrument plays, then stops for a few minutes, then plays again but with the added mystery instrument. Please listen around 30 seconds of this part so that you're aware of what instruments I do not want identified: https://youtu.be/n4JMyhMy3Jo?t=2050

This is the same as the above melody but with the mystery instrument playing: https://youtu.be/n4JMyhMy3Jo?t=2175

Sounds like something I heard from old Jazz songs.

EDIT: It's a western game set in 1899, not sure if that helps. I'm completely musically illiterate as my terminology suggests.