Following a few inputs:
Yesterday AGAIN I have had to open my unit.
The reason, showing this exact error on your YT clip!
There are only four Philips screws with serated washers that hold the transport mechanism in place.
Once you removed these, you can gently lift out the mechanism (with the drawer closed!).
You now can get at 4 more smaller Philips (coss slit) screws to remove the 'bridge' holding the counter pressure (top) disc.
You now can get at, can inspect, that centering hub.
If it is broken you pretty much will find the second half somewhere laying around in the bottom!
If not, and it is broken you know it needs a replacement.
This is a good start point:
https://encosystems.net/product/standard-cd-pro-centering-hub/
Now, more interesting yet, with the lifted out mechanism you would find some heavily degraded square foam patch below the center hub point (of the mounted mechanism).
You need to remove this crumbling mess as bits and pieces can interfere with any the loaded CD!
I had a tiny piece stuck (hardly visible) close to the centre hole/the clamping area of one failing CD.
The clamping pressure then is not sufficient to press the CD flat onto the motor spindle hub, the CD will slightly wobble, causing scratches on the outer third of such CD.
(I have plenty of just such ones)!
That foam square about 1"x1" and was obviously meant to prevent the dropping transport unit, during loading, touching the bottom enclosure.
(Best explanation I could come up with...)
So, find some more durable replacement, just in case there really needs to be some buffer, preventing such ever to occur.
Now check the center motor hub to be clean of any debris.
(I needed a hand vacuum to remove all the crumble plastic foam debris!)
Make SURE none of your CDs have this gunk as described stuck to the bottom clamping surround area! A quick finger wipe will do.
Lastly, before testing your reassembled unit, MAKE SURE, to place the interted lid on the unit - this to cut out any outside stray light!
The transport will NOT load/read a CD if enough stray light is detected!
I do hope you hub is still in fine shape though.
If all fails, I managed to glue mine together (two pieces) and using strong/thin sewing thread soaked *gently* with Henkel Patex Repair Extreme, Extreme Resistance (its slow setting), winding a few turns followed by a simple knot (the glue will prevent it's undoing) around the bottom center hub outer sleeve, and let it set before refitting.
This glue thread application (if needed) is VERY finicky, but certainly will add to piece of mind for when the centre hub was broken and repaired by those only very tiny gluing areas available.
Best of luck, and please kinly let us know of your findings.
M. 🇿🇦