Getting the spread tow to conform around the sharp edges at the back will probably be very difficult, if not impossible. the same goes for the front edges, even though they are rounded.
I'm currently working on a set of bathroom washbasins, they have a 25 mm radius over an angle of about 70 degrees, an that has proven a bit of a challenge ...

The corners will be the biggest challenge
If I were to do a skinning of your desk, i would go for an edge around the desk, made from something like twill weave CF, and have the spread tow only on the flat surface.
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