It might be easier to do all that in the UV texture and just make a simple solid with a little curve to one end of the top. Depends on how much movement and how closely you will be looking at the object in the render.
In this example I just lifted one vert on the edge of the box a little bit with proportional sphere enabled. Even that was too much for the texture, but I could not find a good picture of this product. (I didn’t look very far at all, as you can tell from the red circle) The UV unwrap was done from view which is fine for a static shot or mockup, but it would be much better if you could get a unfolded picture so as to avoid the perspective caused distortion. Don’t look on the other side!!
This sort of treatment depends entirely on having a very good high resolution source picture.
abteibox.zip (289 KB)