#2034 [Feature]: Optional Windows Tray for local server status and diagnostics

Description

### What do you want to do?

On Windows, check whether my running Strata server is reachable and whether its
model is loaded without keeping a console or browser open. Open the Web UI and
copy a small diagnostics summary from the notification area.

I currently use a private Tray integration. A proposed first upstream change is
an opt-in, read-only Windows client for the existing official server. It would
poll the loopback /v1/models endpoint, handle model aliases and empty model lists,
open the local Web UI, and copy allowlisted diagnostics. It would include
PerMonitorV2 support and readable system-color status text.

The first change would not own the server process or alter setup defaults,
engine behavior, authentication, model settings, or updates. API-key-protected
servers would show auth required; the Tray would not collect credentials.

A native .NET Framework 4.8 candidate is prepared, with no NuGet dependency.
Would this narrow, optional Windows client fit the project? Server lifecycle
controls and automatic updates can be discussed separately.