- Unread badge on the Podcasts tab via a new observable PodcastLibrary store
that mirrors PodcastIndex; all played/remove/generation mutations route
through it so the count stays live.
- Persist playback speed across sessions (UserDefaults), applied on setup.
- Sleep timer (15/30/45 min or end-of-episode) with a moon menu in the full
player; end-of-episode stops instead of auto-advancing.
- Persist the current episode + Up Next queue and restore a *paused* session on
launch; save position when backgrounding. Audio session is only claimed on
actual playback so a restored session never interrupts other audio.
Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
