Pick up a cheap wired mouse and a USB-A to USB-C adapter if needed. The mouse will be recognized as soon as you plug it in to the phone and you can use it to do anything you can with a touch screen. I've done that a couple of times when my 6 Pro screen inexplicably stopped responding to touch and it allowed me to get to the restart button.
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=== Update (03/25/25) ===
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@jinx77488 At this point it sounds like you've done everything possible to troubleshoot the issue, and absent any other information, it would seem to be a pretty sure bet that you got a defective screen. If you got it from iFixit it has a lifetime warranty and you should contact them about a replacement. Otherwise you should contact the vendor you bought it from to see what their procedure is for a warranty claim.
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The only other thing you could do would be if you have the original screen and it was functional enough, you could try plugging it in to verify that the touch screen still works on it. If that's the case it would put the final nail in the coffin for the new screen having a defective digitizer. It's not common, but it does happen. Being a 6 Pro owner myself, I tend to notice issues with Pixel screens, and to be honest it seems to me that Google may have a quality control problem with their replacement screens, as I've seen more reports of bad screens than it seems you should see for a new, factory part (again, that assumes you bought the screen from iFixit, as they only sell genuine Google parts for Pixel phones).
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So yeah, time to see about a replacement. Be sure to come on back and let us know how it all turns out.
Pick up a cheap wired mouse and a USB-A to USB-C adapter if needed. The mouse will be recognized as soon as you plug it in to the phone and you can use it to do anything you can with a touch screen. I've done that a couple of times when my 6 Pro screen inexplicably stopped responding to touch and it allowed me to get to the restart button.