I think there is probably a research paper hiding inside this game.
I couldn't guess Dice because, as an ESL person, I couldn't make the D-i combo sound like /d/+ /aɪ/ in my head (it sounded as /d/ + /ɪ/), so a part of my neural circuitry didn't fire, and I couldn't complete it with `ce.`
In other words I, personally, in this pattern recognition game rely on the way words sounds in my head to find familiar combinations and continue the sequence.