Since it's running on the STM32WB07, the BLE stack is ST's own implementation, so the GAP device name, ad payload structure, and manufacturer-specific data fields are all configurable in the firmware the same way you'd expect on any ST wireless project — no Nordic-specific quirks to worry about, but the pattern is similar enough that your existing experience will transfer. You're looking for the advertisement data setup, probably in an `app_ble.c` or similar file depending on how they've structured the project.
If you want to avoid touching the core firmware at all, it's also worth checking whether the AI Firmware Builder in the Dev Hub can generate a white-label variant for you — describe exactly what you need and it'll spit out source you can build from. Might save you some time vs. manually hunting through the codebase cold.