MacOS Permissions Ghostty not on list of applications

[SimonKausch]

I installed Ghostty via Brew on my MacBook shortly after public release. I coded something in Go that uses the http.get function to make requests on my local network. Then I realized I could run this only with sudo in Ghostty but in Kitty it runs as expected without sudo.
When I checked permissions I saw that Ghostty is not on the list applications under system settings - privacy & security - local network.

As far as I remember it also never asked me for the permissions like with other applications when you run them for the first time.
Is there something I can do or this a bug? I don't really know much about how MacOS works under the hood in that regard.