Refactor project into two standalone components

Split monorepo into separate units for future independent repositories:
- media-server/: Standalone FastAPI server with own README, requirements,
  config example, and CLAUDE.md
- haos-integration/: HACS-ready Home Assistant integration with hacs.json,
  own README, and CLAUDE.md

Both components now have their own .gitignore files and can be easily
extracted into separate repositories.

Also adds custom icon support for scripts configuration.

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

CLAUDE.md

@@ -1,50 +0,0 @@
-# Media Server for Home Assistant
-
-## Project Overview
-
-A server-client system to control PC media playback from Home Assistant.
-
-- **Server**: FastAPI REST API on Windows controlling system-wide media via WinRT
-- **Client**: Home Assistant custom integration exposing a media player entity
-
-## Running the Server
-
-### Manual Start
-
-```bash
-cd c:\Users\Alexei\Documents\haos-integration-media-player
-python -m media_server.main
-```
-
-### Auto-Start on Boot (Windows Task Scheduler)
-
-Run in **Administrator PowerShell** from the project root:
-
-```powershell
-.\media_server\service\install_task_windows.ps1
-```
-
-To remove the scheduled task:
-
-```powershell
-Unregister-ScheduledTask -TaskName "MediaServer" -Confirm:$false
-```
-
-## Home Assistant Integration
-
-Copy `custom_components/remote_media_player/` to your Home Assistant config folder.
-
-Integration files location: `U:\custom_components\remote_media_player`
-
-## API Token
-
-The API token is generated on first run and displayed in the console output.
-Configure the same token in Home Assistant integration settings.
-
-## Server Port
-
-Default: `8765`
-
-## Git Rules
-
-Always ask for user approval before committing changes to git.