I bet it's an expectation thing. What I hear sounds like: mai-pause-ig. I know that "mig" is pronounced without saying the final "g," so I hear the "ig" sound at the end as "ikke." I'm guessing that this may all sound like "mig" if you're expecting "mig"'s final "g" to be vocalized. Anyway, I hope that's a helpful description.
My son said he could hear it too and that I should put my ear closer to the speaker. Yes. There is a voiceless "k"sound for ikke there at the end. I'm used to Danes dropping end sounds and slurring things together a lot, but this time I just didn't believe it was there at all.