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I'd remove the screw and see how deeply it penetrated the tire. A close look at the threads suggest a pointed screw. It is perfectly positioned for the tread to keep it from entering completely. If not too deep the tire itself probably can be used without repair. If uncertain, perhaps have it repaired, even if you have insurance. Despite BMW dealer ideology it seems that a repair of this kind of well-placed simple puncture is straightforward.
New to planet BMW, I was traumatized by the idea of riding around without a spare. Ditto for the daft idea of replacing a tire because it has a straightforward puncture in it. So I did get a high portable power compressor, patch kit and Slime, and carry them around in a tool bag in the back. Takes half the space of a spare. Daft BMW.
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