Re: Purchased through Steam, game not appearing in EA Library
After I switched from Origin to EA app I had similiar situation I could not see my games in my collection, only thing that helped me was signing out multiple times from EA app and logging back till my games finally showed up in library. But my EA acc is not yet linked with my Steam acc so I have no idea if this can help you. Salute.
Edit if you continue to have this problem you can always contact Steam support few people actually refunded EA games and situation was same as yours.
After that you can buy MELE on EA app.