PCI correctable errors on my SSD

PCIe error correction works as intended: correctable errors are automatically corrected so they won't cause incorrect data to be propagated (and so won't require the system to crash, which would otherwise be the only way to prevent the processing of possibly-corrupt data).

You could try adding the kernel boot option pcie_aspm=off, but since it disables PCIe Active State Power Management system-wide, it is less than ideal solution in a laptop. But if it causes the errors to stop, you'll know that the errors are related to PCIe power management and can search for a more targeted solution. You might want to report the issue to the Linux NVMe driver developer(s); they might be able to suggest a more specific solution and add it to the driver so that future kernel versions will be able to handle this case automatically.

The error messages already indicate that the errors are happening in the communication between the WD Black NVMe SSD and the system chipset.

If you can temporarily go back to Windows, you could then install the Western Digital Dashboard utility, and use it to check if your SSD needs a firmware update. That Windows-only utility seems to currently be the only way to install firmware updates to your SSD model.

If your SSD has a power management or other issue, updating its firmware might fix it.

Until recent years, the AER has been mostly a server-grade feature, so it is possible that your laptop is designed to rely on error correction to work normally, given that Windows won't normally report correctable errors. If so, then you might use the pci=noaer kernel boot option instead, to disable the error reporting but allow the hardware to keep correcting any correctable errors as usual. The errors will still keep happening in the background and will keep causing some performance degradation (so it's less than optimal solution), but the option will stop the logging.

The Owner's Manual for your laptop seems to include instructions for replacing the SSD, however since the instructions include opening the bottom of the laptop and removing the internal battery, I would hesitate to recommend it as a do-it-yourself option unless you are already familiar with laptop hardware maintenance.

But there is a chance the errors might be caused by oxidation in the M.2 connector; if that is the case, then just removing & re-seating the SSD might help.