**Add autoplay support for seamless music playback**

Introduced autoplay functionality to keep music playing when the queue ends. Added new `/autoplay` API endpoints, command handling, and service implementations. Enhanced `TrackScheduler`, queue operations, and testing to support autoplay behavior. Integrated YouTube radio mix as the initial provider.

docs/web-api.md

@@ -70,6 +70,7 @@ music channel when a context is attached.
 | `PATCH /music/{guildId}/queue/reorder` | Move a track (`fromPosition` → `toPosition`). |
 | `POST /music/{guildId}/skip`, `/stop`, `/pause`, `/resume`, `/shuffle`, `/leave` | Playback controls. |
 | `GET` / `PUT /music/{guildId}/volume` | Read / set volume (0–100). |
+| `GET` / `PUT /music/{guildId}/autoplay` | Read / set autoplay (`{"enabled": true}`). In-memory, resets when the player is destroyed. |
 | `PUT /music/{guildId}/seek` | Seek to `positionMs`. |
 | `GET /music/{guildId}/vote-skip` | Vote-skip status. |
 | `POST /music/{guildId}/vote-skip/{userId}` | Cast a vote on behalf of a member. |