The video of Alizee opening the box to find a mixer (my prior post) reminded me of this video below. The haircut is basically the same, and with her hair changing like the weather, was probably taken about the same time.
In these videos, hair is parted left of center and slightly longer on the right side, but with the release of Psych in 2007, her part was right of center and hair was longer on the left side.
She doesn't look pregnant, so it has to be after Annily. I'm thinking about the year 2006, during her hiatus.