There are several issues with that mug. For starters, there are more than 16 colours, so it is not insertable in that state. In addition, some of her hair is inside the two 16x48 hackboxes, so even if it was insertable, some of those strands would vanish into thin air, only to reappear as they pass back into usable space.
My advice for fixing things is to first download Usenti and requantise the portrait. Then, give your beloved a haircut so she doesn't have magically vanishing hair.