Hi dahlt,
I would say that the water went to the bottom of the box, so just flip the box so that the water inside the box will run to the dry areas .
Flip every evening to avoid moisture to settle on one side - of course this means that the box is full and the cuttings won't move and shake around the box badly.
If you don't see moisture reaching the dry area, then mist that part, and start flipping the box around each day on one side, and then next side, then upside down and start again at side 1 .