Brick/WiFi brick
A WiFi brick occurs when a WiFi module does not work, or a normal IOS80 is installed on a Wii Mini.
Fixing this brick
This brick can only be fixed by fixing/installing the WiFi module itself, or by restoring a NAND backup that contains the Wii Mini IOSes.
The following diagram may be of use when fixing WiFi bricks.
The Wii mini Hacking Discord server has recently began writing guides on hardware modifications for the Wii mini, and will likely write a guide for a WiFi module soon.
Cause of this brick
On boot, the System Menu starts the WiFi code in IOS to connect to the internet, which attempts to connect to the WiFi hardware module. If the WiFi module is broken or absent, IOS will will never respond, causing the System Menu to permanently hang while waiting for IOS to respond.
Because the Wii Mini does not have a WiFi module, its IOSes have code to immediately return when WiFi does not respond. However, if a normal IOS is installed, that IOS will attempt to load the WiFi module when requested by the active software. If this IOS is IOS80, then it becomes impossible to load anything due to the System Menu not fully loading.