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This sounds like a recipe for ABS slurry, as used in 3D printing for holding prints down. Given the value of the fairing, it's probably worth buying proper acetone rather than nail varnish remover, avoiding issues with the moisturiser and other contaminants.
If you know anyone on the 3D printing thread IRL, they might be able to design (and print) an ABS reinforcing patch that can be bonded in place with slurry. I say IRL because it will probably need several attempts with access to the fairing to get it right - possibly it's just me, but making a print match a surface rarely works first time!Edit: sorry - should have been a reply to @n3il !
Some time ago I made a fairing repair using Poundland nail varnish remover. It takes a long time for the acetone to chemically melt the plastics, but I would recommend this method. It can turn the plastics white (not an issue if hidden from view), and it is chemically re-bonding the pieces together. If you can be bothered, do that.
You can also put shavings of the similar plastic into a bottle of acetone to make a repair goo that is chemically similar and should give you a good repair.