Copilot app causes own taskbar entry to highlight repeatedly

### Short summary

The Copilot app continuously sets the `_NET_WM_STATE_DEMANDS_ATTENTION` X11/Wayland window state, causing the taskbar icon to highlight repeatedly in KDE Plasma even when there are no new replies, sessions, or notifications.

### Affected version or release

v1.1.10

### Installation context

- OS: Linux (Bazzite, KDE Plasma 6.7.3) - App: GitHub Copilot installed as AppImage

### What happened?

The Copilot app continuously sets the `_NET_WM_STATE_DEMANDS_ATTENTION` X11/Wayland window state, causing the taskbar icon to highlight repeatedly in KDE Plasma even when there are no new replies, sessions, or notifications.

Closing and then reopening the app seems to have worked around the issue, but there seems to be an underlying issue somewhere.

### Steps to reproduce

xprop -spy -id $(xdotool search --name Copilot | head -1) | grep -E "(DEMANDS|URGENT|ATTENTION)"

### Expected behavior

`_NET_WM_STATE_DEMANDS_ATTENTION` should only be set when there's actual new activity (messages, session completions, etc.)

### Additional context

Start by running the reported xprop and xdotool command on Linux with KDE Plasma to observe when _NET_WM_STATE_DEMANDS_ATTENTION changes. Trace the app's activity, session, and notification handling to identify what keeps the attention state set. Done means the taskbar entry remains inactive without new activity and highlights only for messages, session completions, or notifications.

索引モデルが issue の本文から書いたものです。