Thanks for this reply. To clarify, I wasn't talking about the thread on the mount (where the mount attaches to the mic stand), I was talking about the thread on the actual microphone (where the microphone attaches to the mount). The included mount has a ring with this thread that screws onto the microphone, but it doesn't seem to be possible to detach that ring from the mount to use it with a shockmount (unless it requires more force than I was comfortable to apply?). I already have one that I could use if I could do this or replace the ring with another that has the same thread.
Unfortunately, I don't think the specifications mention the size of the thread on the microphone. The thread mentioned there seems to be the one on the mount. Also, they claim that the microphone includes a shockmount, but the mount is more basic than that (
https://help.uaudio.com/hc/en-us/articles/18799214729108-FAQ-SC-1-Standard-Condenser-Microphone).