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Assume I have many points, say 100 or more, that represent a station to visit. I want to choose one of them as a starting point, and then navigate to each and every one thereafter to take a sample of something. Essentially looking to create a table to list out and order the stations to visit based on the shortest path from a particular starting point that I choose.

The points are not one a road or line or any but transit sort of problem, but are merely random places in say, a forest. In sum, looking for way to choose one to start out and then navigate (walk) to each one thereafter by a shortest distance. Forget the ups and downs, not important.

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    The problem is called "Traveling salesman" – BERA Sep 18 at 6:28
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Following up on the comment of BERA, if you have access to the Network Analyst in Pro you could use the route analysis layer https://pro.arcgis.com/en/pro-app/help/analysis/networks/route-analysis-layer.htm# Might be too extensive for this purpose though.

Or use Points to Line tool, a sort field can be used to specify the order if needed. E.g. your starting point. Otherwise points will be used in the order in which they are found.

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