Hi @Mike C,
I reached out to the engineer most familiar with the Adept software and they let me know the JTAG UART communication you are describing is not possible to do with Adept, or at least they were not aware of a way to access the bscan registers (which is what the MDM JTAG UART is using) outside of the Xilinx toolchain.
What I would probably recommend doing as an alternate option since I presume you don't have existing UART access otherwise would be to implement something like an AXI UartLite IP and route the Rx and Tx to some external pins and using something like the Pmod USBUART (https://digilent.com/reference/pmod/pmodusbuart/start) so you can then receive serial messages over something like PuTTY or TeraTerm.
Thanks,
JColvin