Bump gets softer if it's further away, help

[chronic]

thats how filtering works - an object far away in perspective has less pixels to define it than an object close to the camera. how the computer displays your object/texture with the number of pixels available depends on a bunch of things.
if you want your far away textures to be sharper, render at a higher resolution, or adjust the filtering settings in the file node, or the filtering settings in the render globals, or all of them.

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