iPad Pro 11 (2022) ghost typing

Howdy,

My iPad seems to have frequent episodes of spam-typing '3' without any input from myself. If I were to enter a word document, I could just leave it there and have a page of 3's eventually.

I don't have any ghost touching, and it doesn't show that 3 is actually being clicked when the virtual keyboard is up.

Sometimes, when I open my iPad's case, I find that it's already awake and it has been spam typing 3 into the passcode section, so there's just a long string of 3's in there that I have to get rid of before I can enter my actual passcode.

It doesn't cause any issues outside of when I need to type something, it affects anywhere that writing needs to happen. A search bar, a word document, etc.

I have tried soft resetting and hard resetting, taking off the screen protector, removing it from its case, disconnecting bluetooth devices, and so on, but if there are any other solutions to try I'd love to know. I figure it's a hardware issue, but I'm outta warranty/applecare so I doubt I'd be able to get this fixed affordably, and it wouldn't be worth it since it only causes problems when I'm typing.