You wrote BMR, does that mean the disk on the HP ProDesk was completely empty, and you recovered all of the partitions with the BMR (including the hidden ones?)
The danger with recovering to another device is that the other device has leftover hidden partitions (because of the UEFI boot...) and therefore does not know how to boot at all. You might want to start on the recovery media again, go to the tools and use command prompt with BCEdit to see what partitions there are, which ones is active etc...
My 2 cents
Thanks for uploading the logs... They will be looked at as soon as possible