keys repeat on bluetooth keyboard

This seems to be a problem with the keyboard itself.

If you can borrow another keyboard that will provide for a simple test. If everything works with a different keyboard, it points to a keyboard malfunction.

Another thing you can do is boot in Safe Mode. Same problem? Or does the keyboard work correctly in Safe Mode? If the keyboard works correctly in Safe Mode but not when booted normally, then it is a software issue.

Let us know.

I should point out, though, that the state of charge of the keyboard has no affect, and neither does turning off the keyboard, waiting a few minutes, then turning it back on. Even logging out of my account and back in doesn't help (I only have the one account on the computer). What does work every time is restarting the computer, then it's generally four to five days before the behavior repeats.

This does point to software.

Fortunately, the workaround is not that bad...

These problems that occur sporadically, or only after a rather long period of time, are harder to troubleshoot.

Nevertheless, it may worth running the diagnostic tool Etrecheck and posting its report here. We may find something in there.

Thank you for posting the report.

There are several issues that the report makes apparent.

You obviusly have been upgrading in place, over several years (maybe a decade) and even across a different architecture (intel to m1).

While it is so easy to upgrade in place, and migrate over to your new mac, the problem is that you accumulate lots of old cruft over the years.

You still have things like Perian (deprecated some eight years ago!), or Flip4mac (again, not working for quite some time).

Also: you have symantec "antivirus", which does not protect you from anything and is known to cause issues.

Those are just some of the things that immediately stand out.

They may or may not be related to the issue that brought you here.

I urge you to do what you should have done when you got your new M1 mac:

1) Make a full Time Machine backup

2) Erase and install a clean OS (**)

3) Migrate ONLY the user accounts (not applications, settings or other files)

(**) this would not have been necessary with a new mac, but now:

2a) Create a bootable installer on a thumb drive

2b) Start from that installer drive, run Disk Utility and completely erase the internal drive

2c) Run the installer, and proceed to step 3) above