Can you purchase songs on Amazon Music? ?

To replace Google Play Music which is disappearing soon, I'm looking for a new free app where I can purchase and store songs, make playlists, ect. Other apps like YouTube Music, Apple Music and Spotify seem to only be for streaming, but this screenshot implies that Amazon Music does have its own store. When I search for a song though, I don't see the option to buy, only the prompt to upgrade for a monthly fee, which I don't want to do. Does Amazon Music actually have an online store, and if not, which Android app does?