conversely if they are able to transport it, the act of disassembling it would unmake the spirit sauron poured into it, being remade somewhere else will not have the same ...sparkle.

First, I agree with all of the above: within existing lore it seems obvious that the transporter wouldn't be able to transport the one ring for several reasons having to do with magic.

But also, this is just a reminder that I think the transporters in Star Trek are so narratively uninteresting. I like Trek, but pretty much in spite of the tech writing. The degree of magic in their technology just does nothing for me. I wish we had more fiction that was like a cross between Star Trek and The Expanse.