Trade Terminology

I'm creating an application that gives users the capability of keep track of their Magic: The Gathering(TCG) trades. A Trade has 2 parts. Adding a specific card to a trade. But you can add it to yourself(you trade the card away) or to your Partner(you receive the card)

Currently that part looks like this. Add Card to details

Several users have complained that the current terminology makes it a bit unclear as to what button to use.

Do you have any ideas on how to improve the usability of this aspect? I want the experience to be clear as possible so the tool doesn't require any additional tutorials etc. to function.