I see PC purist complain about their cooling so much.

https://sh.itjust.works/post/56904751

But people actually do do this, if for some reason a PC is overheating or the built-in fans are making too much noise. A big fan running slowly moves more air more quietly than a bunch of little fans. I even wired an external DC fan into the PC’s power supply once so that I wouldn’t have to plug them in separately.
My experience is that this also builds up a pretty spectacular amount of dust inside the case, so regular vacuum cleaning is called for.
that’s why you use a custom water cooling loop connected to a car radiator outside.

Or better, connected straight into your pool!

Wait.

Point the fan outwards and pull heat out instead of pushing cool air in. Problem solved.

Problem not solved. You’ll still collect dust wherever there’s intake.

The filter is probably the best solution IME.

Whole home hepa hvac filter on the intake side?
Yes, something like that!