Find drinking water amenities on a GPX track?

With the following query I can find drinking water amenities within a polygon:

[out:json];node["amenity"="drinking_water"](poly:"51.47 -0.01 51.477 0.01 51.484 -0.01");out;

I would now like to use the data from a GPX-file to search for drinking water amenities on the track (or up to 500 metres off the track). I know how to transform the GPX-file into a Linestring or whatever but I don’t know how to tell Overpass to search on the track.

Does somebody know how to achieve this?


– Edit:

I found this:

How can I filter the found POIs to only drinking water amenities?

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