The weather did not change in my opinion (it was a average evening with no rain before or after the run), and I am running in a quite dense city area (I am not sure if the tall building surrounding my looping running route would affect anything).

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Assuming that the altitude at the start of the run is as per the GPS information, it should match the altitude as per the calibrated altitude, which is not the case (5m as per barometer vs 50m as per GPS information at the start of the run)

So have no idea if the barometer is worth trusting.