So far there don't seem to be any problems. The BUG Mod doesn't alter the SDK (C++ DLL), and the Unofficial 3.13 Patch doesn't modify Python, so they should play nice together.
The latest release of this mod (the EXE and ZIP) don't include the 3.13 changes, so you'll need to grab the latest version from our code repository on SF.net. See the Latest Version thread for instructions. If that sounds daunting, just wait a day or two as we're completing a release this week.
If you encounter any problems, please post them to the Bug Reporting thread. Enjoy and good luck!