Unfortunately the optical on the Carbon is ADAT. The optical into the Clarity is s/pdif. The two are not compatible.
The good news is you can use the Clarity via USB to your host computer and insert the Clarity M plug-in to you DAW of choice and use it that way.
The original post said you wanted to connect it to your Carbon and you’re limited by the choice of outputs the Carbon has vs the physical inputs of the Clarity.
Here’s some info on using the Clarity in Plug-in mode
https://mediadl.musictribe.com/media...Y%20M_M_EN.pdf