If you don't use the STM32CubeProgrammer, what do you use to write the firmware to the SBMS0?
I googled "How to update my Electrodacus SBMS0 with STLink 2.0", and that's what AI suggested with step-by-step instructions. It's info about connections weren't quite right (I used yours that you linked above), but the process of using the STM software was useful and apparently correct. Other than the fact that the download is nearly 1GB, and then another GB to install (on Windows), it was free (had to give up my email address).
Note that my cheap-o STLink connection pins are slightly different order than yours, so you do have to pay attention to what your STLink is labeled.