Unable to dump/write on another card/tag

AliExpress can be difficult to be certain of anything as they are pretty lose with their wording.
In my experience on AliExpress,
UID = gen1a CUID = gen2

Looking at your links, this is my best guess

They are all 4Byte UID’s ( What you want )

mO0BXsY = gen2

mOFl0sU = not 100% but think its gen1a

mtdB3w8 = ??gen1a??

mqK0bWM = T5577 + gen1a ( Basically an xMagic in key fob form factor)

Here’s some further reading for you

All good, thats what we are here for