It its sadly not that simple since the corner are special shaped to avoid to be wrong placed.
You can always find a separate company to do contour milling of a hardened acrylic plate you provide, e.g.
https://www.schaeffer-ag.de/en/products#. But that gets much more expensive than the standard contour options offered by the vendor I had linked to above.
Can none of the standard shapes offered by Plattenzuschnitt24 (square, rounded, angled) be made to work? Maybe you could send them an email and they can make a variation on request? Also, you can quite easily fine-tune the shape of an acrylic plate manually with a file, a drill, sandpaper etc., as long as the rough edge remains hidden under a frame eventually.
Could you share a photo of the "exotic" corner shape?