Building an infinite ice-cooled PC

If you want to use an ice cube to cool your computer, you could build a tower like this to stack up as much ice as possible. With the ice stacked up right on top of your CPU, it will keep it cool. But the main issue is that when ice melts, the water actually pushes up the rest of the ice, making the bottom less cold. But we can add a drainage tube at the bottom to flush no means is an infinite loop. So let's try to make one. The first step might be adding a pump so that when water drains out instead of the water only moving downwards we could hypothetically move it upwards. But how high can the pump actually move water? Let's find that out right now. With the pump plugged into our motherboard and our PC powered on,

I'll be holding this tube to see exactly how far the water travels upwards. All right, even at this distance you can still see the water actively flowing through it. This is a good sign. And with the pump, the ice now more aggressively drops to the bottom of this cup here, which is exactly what we want. So now the question is, can we add an ice maker to the top of this setup so when water which is exactly what we want. So now the question is, can we add an ice maker to the top of this setup so when water flows into it, it drops ice back into this tube? And then when it melts, it pushes water back up to the ice maker.