Re: "We could not activate XYZ on this computer using the EA Account you provided"

I try to launch Bejeweled 3 through the EA Desktop App, which I received for free in a giveaway from 2014. The game still shows up in my library, so it's legitimately tied to my EA account. For some reason, though, it won't let me play. It shows a window asking me to sign into my Origin account, and when I sign in, it says "We could not activate Bejeweled® 3 on this computer using the Origin Account you provided." I noticed that the EA Desktop App has a window in the Library that shows my product key, so I figured I should try using that key. However, when I click on the Enter Product Key button, nothing happens. No text field pops up to let me enter my key.