New
#21
OK, FIRST backup all your KEY text files to an external drive or thumbdrive.
Next try to do a full system reset again and make sure you select Windows Core/Home in any possible dialog boxes that appear. Once installed, check which Edition got installed and do the ShowKeyPlus thing again. You should have Core/Home installed now.
If this is not the case, then we possibly need to check the system restore image.
All this sounds to me they swapped your HDD at HP service center and the image on it is Windows Pro.
Next step is to download the WindowsMediaCreation tool and create an ISO with it. But let's do that procedure after you have tested the recovery image one more time.