Get Time Machine to recognize new exteal drive

Here is the deal: I had an exteal 4TB hard drive with around 3.8TB of data which I included in my Time Machine backup. Since it was nearly full I decided to upgrade to a new 8TB drive and transferred all the data to that drive.

Of course I want to include that new drive also in my backup but I don't want to have the data twice on my backup drive (backup of old 4TB drive + backup of new 8TB drive). So how can I tell Time Machine that this new drive is basically the same as the old one only with a greater capacity?

Would it work to manually create the hard links to the files or would that just confuse Time Machine totally and destroy my backup? I tried naming the drives the same but when I start the backup it will just begin to transfer the 3.8TB, so the drives are somehow referred to by a special ID.

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