It sounds like the issue may be related to driver recognition or device mapping through Parallels rather than Dragon Medical One itself. Since the SpeechMike works with the standard microphone setup but not through the AirBridge dongle, try checking whether the USB device is being assigned correctly to Windows instead of macOS inside Parallels.
You can also try reinstalling the Philips device drivers and the Philips Speech Control software within Windows, then reconnect the AirBridge dongle. If Philips Control Center is not detecting the device, it usually indicates a driver or USB pass-through issue. In Parallels, go to USB & Bluetooth settings and manually connect the AirBridge to Windows whenever it is plugged in.
Additionally, ensure that microphone permissions are enabled in both macOS Sonoma and Windows, and test whether the buttons are recognized in Philips Speech Control before launching Dragon Medical One.
SpeechMike Premium Air with AirBridge on Parallels 19 and Windows 10, it may also help to compare driver versions and Parallels USB settings to match a working configuration.