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Automate count of Polygons within certain range

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Ok what I'm trying to do for my new mapping project is:

I have one feature class with 30.000 polygons.

- I want to count for every single polygon how many other polygons are within the range of 500 m.
- The results of the count should be noted in the table for each polygon.

First I've tried to solve this by simple select by location, but I can't find a way to automate for all.
Second I've tried the "spaghetti and meatball method" but it was more or less inaccurate due to very small polygons and mulitple intersections.

What do you think should I do?

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