Unable to add new Matter device via iOS App

My Setup:
Home Assistant Docker Container on a Pi5
Matter Server in a Docker Container on the same Pi
Home Assistant companion app on iOS

So I was able to get Home Assistant and the Matter Server running but when trying to add a new device, the App doesn’t seem to work.

Video of what is happening

(The device I want to connect will arrive on Saturday, but that behavior doesn’t seem right in any case)

In the Matter Server log I can’t see anything after the server has finished starting.
The only interesting this is this:

matter-server  | 2025-05-07 17:40:12.673 (Dummy-2) CHIP_ERROR [chip.native.DIS] Failed to advertise records: src/inet/UDPEndPointImplSockets.cpp:421: OS Error 0x02000065: Network is unreachable
matter-server  | 2025-05-07 17:40:12.674 (Dummy-2) CHIP_ERROR [chip.native.DIS] Failed to advertise records: src/inet/UDPEndPointImplSockets.cpp:421: OS Error 0x02000065: Network is unreachable

But a quick search indicates, that it shouldn’t be a problem, as it’s just an unconnected network interface on the host.

I don’t have a Thread Border Router or intent on getting one in the near future, as the Matter devices I bought should just work fine over wifi.

Turns out: it works on a newer iOS version, so it seems to be a problem with the app on iOS 16.2

Matter was first introduced in iOS 16.1 and a lot have happened since then, so iOS 16.2 are probably missing a lot of vital features compared to the modern Matter standard.

I guess I just didn’t expect that, as the newest version of the app downloadable on iOS 16.2

iOS 16.2 is old and pretty much i supported from Apple.
Even 17.x is not receiving updates that regularly.