How to get distance to different POI around lat/lon?

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I have about 150k lat/lon points and I need to get a distance to different POIs around for each lat/lon. I`v make script that make a Overpass QL requests to overpass-turbo.eu (openstreetmap api) but It seems that will take about 250 hours to get all information:) Can somebody suggest a better way?

Vic



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