Thank you all for your reply.
Why would I need a cooler?
This is the compressor in question (also sold separately without the tank, which I wanna use):
https://aerotec.info/index.php/comp...chraubenkompressor-compack-2-90l-pro-230-volt
Wow, is my German stale. It's been a long time.
You would want a cooler, because you'll need a flexible line between the compressor pump and the tank, because they are not directly linked by bolts and steel, and most flexible lines, aka hoses, don't weather the high temperatures, 275-325 degrees F on mine, generated by compressors. Also a cooler will help pull moisture out of the air, resulting in longer tank, and tool lives, and less problems if you spray paint.
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All this said, that particular compressor looks like it has an integral oil cooler for the pump. Which might drop the air temperature into a cooler range. If I read correctly, it has a rubber line between the pump and tank. So, either they have a heat resistant hose, or the pump puts out relatively cool air.
If I were you, I'd make sure I verified that I got that exact connecting hose when I bought the pump. That way you could adapt it to your hard line to the tank. Or get enough of their flexible line to run all the way to the tank.