To install the latest firmware for the Gigabyte Aorus FO32U2P on your Mac mini (macOS 15.x), follow these steps:

1. download the firmware:
- Visit the official Gigabyte website and navigate to the support page for the Aorus FO32U2P.
- Download the latest firmware version. The current version is F06, which was released on 18 November 2024.

2. preparation:
- Make sure your Mac mini is connected to the Internet.
- Use a USB cable to connect the Mac mini to the monitor, as the firmware update software requires a USB connection.

3. install the firmware:
- Run the firmware update software on your Mac mini.
- Follow the on-screen instructions to complete the update process. This may take a few minutes.

4. check the installation:
- After the update, restart the monitor and check that the new firmware has been installed correctly.

Note: The firmware update software may not be specifically designed for macOS, so it may be necessary to run the software on a Windows PC if problems occur. Alternatively, you can consult the Gigabyte website for specific instructions for macOS.