Temporarily moving Hard drive to another computer for data extraction

Windows 10 Pro Version 1903

Hello,
I could use a bit of advice.

I recently had my primary computer (let's call it, System 1) fail and so I'm building a new one. But in the meantime, I'm using a backup Windows 10 computer (System 2) (totally different hardware)

However, the hard drive (WD1TB) of the Primary computer (System 1) contains all my vital data. I want to temporarily move the hard drive (WD1TB) to the Backup computer (as a secondary drive) so that I can copy data off of it.

Eventually, I want to install the Primary drive (WD1TB) into my New Replacement Primary computer as the Boot Drive, just as it was in my now failed Primary Computer (System 1), without having to do anything to it, other than plug it into the New Replacement Primary computer and start it. (Hopefully that will work)

My only concern is whether or not placing the HD (WD1TB) from (System 1) into the backup computer will alter the MBR or File Allocation Table in any way? Possibly rendering it unbootable when I place it into my New Replacement Computer.

Thanks and I hope the explanation was clear and I didn't over do it with the labels.

You will be fine. Installing it as a second data drive in the temporary computer will not affect its boot ability, unless you format it or mess with system files.

There should be no change in the partition structure when the drive is inserted into an empty bay of another computer.

If the drive has not completely failed another method to backup data is to make and restore images.