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I think you could mess around with fillers, resins and repair kits but without sufficient practice I doubt it will ever look much good. I think I would just bite the bullet and pay one of the plastic repair people (I expect it to cost in the region of £150 - £300). As well as filling and sanding it smooth they will also paint it, and blend the paint in with the surrounding area.
I've read a lot of complaints where such a repair starts to peel and become visible again - I suspect when it's in a high traffic area or sprayed with acidic cleaning products. However on the edge like that, I would expect a repair to last.
I have a hairline crack in exactly the same place as yours. I was quoted £150 to fix it but as it's barely noticeable I didn't ever bother.
For that price i woold buy another bath tub and fit it properly
Long shot but you could check if there are any places or contractors with 3D printers and see if someone would be able to print a new piece for you. No idea on costs though.