After you install Blue Sherpa correctly, having given it the necessary permissions in System Preferences / System Settings (in Ventura) and rebooting macOs, you need to unplug the Blue Yeti microphone while Blue Sherpa is running and then plug it back in. At this point, you will be able to click on the Microphone icon and go into the Microphone properties. There, you can check the microphone firmware version and update it from there. However, the Yeti microphone itself will not function at this point. For the microphone to function, it has to be plugged in before macOS boots up, so once you upgrade the microphone software, you will have to reboot your Mac again. Therefore, it's safe to say that the Blue app functionality is broken in (at least) Ventura on (at least) M1 Mac.
Additionally, please be advised that if you install the Blue app (aka Blue Sherpa), the driver loaded for the Yeti microphone is the Blue-compiled driver for the Intel architecture running in emulation on the M1 Macs. You can see that by running the Activity Monitor app in macOS and doing a search in it for Logi. You will see the driver LogiGamingAudio running and if you enable the column "Kind" in Activity Monitor, you will see that the Kind of this driver is Intel.
Fortunately, the latest version of the Blue (Sherpa) app has an uninstall feature under the Blue menu in the macOS menu bar. If you use this uninstall feature in the Blue app, it will remove itself properly, so after you reboot, you will be using the native macOS CoreAudio driver compiled for the Apple Silicon architecture, which can be seen in the "Kind" column of Activity Monitor when you search for CoreAudio. You can also make sure that the LogiGamingAudio driver is no longer running (by searching for its name). However, with the native macOS CoreAudio driver running in macOS on the M1 Mac, there is no way to update the firmware in the Yeti microphone.
Now, there is another piece of software by Logitech that's called G Hub. G Hub also has a feature for upgrading the firmware in the Yeti microphone, the control of the various features of the Yeti microphone (not available with the physical buttons on the Yeti microphone), and having Blue sound effects that can be overlayed when doing voiceover (but not in real time when streaming). The G Hub app also installs the LogiGamingAudio driver, but it's a newer version of the driver than the version installed by the Blue (Sherpa) app, but it's still a driver compiled for the Intel architecture and running on the M1 platform in emulation. However, after the G Hub app is installed, there are two Yeti input devices and two Yeti output devices listed in macOS, which is extremely confusing to deal with. They also appear to be two independent devices and not just a duplicate listing of the same device. I assume that one of them is loaded by the native Apple CoreAudio driver, while the other one is loaded by the Logitech LogGamingAudio driver (compiled for the Intel architecture running in Rosetta 2 emulation in macOS on Apple Silicon). It is the presence of two Yeti devices (named the same) is what caused me not to continue running the G Hub application. Unfortunately, this application doesn't have an uninstall feature, and if you simply drag this application to trash can, it doesn't remove all the pieces that are installed by this application. So, to uninstall this application properly, you have to do the following:
- Drag the GHub application to trash can
- Delete the folder /Library/Audio/Plug- Ins/HAL/LogiGamingAudio.driver/
- Delete the folder /Library/Extensions/log_audio_over ride.kext/
- Reboot macOS