Besides AI being worthless, using WIFI for any server, and HA is a server, is not a good idea. Servers need continuous connection to the network which a wired connection gives you. WIFI connections are not continuous and you are prone to see delays and interruptions as other devices are sharing the same RF bandwidth channel interrupting each other.
HA can not be set up on WiFi easily on first run.
There is no easy way to set the WiFi credentials in HA needed in order to actually get a connection to the AP.
You can set it up if you know the CLI commands or you can set it up through the GUI if you run it on wired connection until WiFi is configured.
As said a server, like HA, should be on a wired connection.
It is designed so you will rarely need physical access to the box or need a monitor and keyboard connected.
Those things are for when the server have issues and you do not have access to the GUI over the network.