flutter_tray_icon_example: draw with DazzUI, follow the Omarchy theme

The example is now built on package:dazzui over WidgetsApp instead of its
own palette and hand-drawn chips: Toggle and Button for the option and
action chips, SegmentedControl for the tabs, OptionCard for the gallery
tiles, Card for the preview, Badge for the click counters and checklist
status, and a Dialog with a TextField for free-text values. The theme is
Studio Light or Dark by platform brightness.

On Omarchy the window wears the desktop instead: omarchy_theme.dart resolves
~/.local/state/omarchy/current/theme/colors.toml through omarchy-theme-color,
maps the palette onto the design system's colour roles (ramps generated from
the accent and the ANSI hues), takes every corner radius from Hyprland's
decoration:rounding the way Omarchy's shell does, and watches the state
directory so omarchy-theme-set switches the running app live.

Toggle sizes itself to the whole line inside a Wrap, so each chip is wrapped
in IntrinsicWidth until dazzui shrink-wraps it.

Author: lijy91

examples/flutter_tray_icon_example/README.md

@@ -7,7 +7,14 @@ A playground for `TrayIcon` and `TrayManager`, built to do three jobs in one sma
 - **accept a platform** — every API has a control, and a checklist ticks itself;
 - **record a demo** — everything is one click, no keyboard needed.
 
-It uses `package:flutter/widgets.dart` only, no component library.
+It is drawn with [DazzUI](https://pub.dev/packages/dazzui) over `WidgetsApp` — no
+material and nothing hand-drawn: every control is a `Toggle`, `Button`, `Badge`,
+`OptionCard`, `Card`, `SegmentedControl` or `Dialog` from the design system. The theme
+follows the platform's light or dark appearance; on [Omarchy](https://omarchy.org) it
+is the desktop's own palette (`~/.local/state/omarchy/current/theme/colors.toml`,
+resolved through `omarchy-theme-color`) with every corner at Hyprland's
+`decoration:rounding`, the way Omarchy's own shell draws, and it follows
+`omarchy-theme-set` live.
 
 ```bash
 flutter run -d macos   # or windows, linux
@@ -59,7 +66,9 @@ preview's alpha shape and the menu bar picks the tint; resolution still matters
 | `lib/icon_animations.dart` | what the frames look like |
 | `lib/context_menu.dart` | the tray's context menu (normal, checkbox, disabled, submenu) |
 | `lib/checklist.dart` | checklist model and report |
-| `lib/tabs/`, `lib/widgets/` | the UI |
+| `lib/omarchy_theme.dart` | on Omarchy, the desktop's palette and Hyprland's rounding mapped onto the design system's tokens, watched for a theme switch |
+| `lib/widgets/option_chip.dart` | `OptionChip` (a DazzUI `Toggle`) and `ActionChip` (a `Button`): every setting is one of these |
+| `lib/tabs/`, `lib/widgets/` | the rest of the UI |
 
 ## Testing and recording