chore: generate a documentation index for REST API docs in docs/api

Signed-off-by: NotAShelf <raf@notashelf.dev>
Change-Id: Ia8426a63a50d07a6cec2b104951d58eb6a6a6964

docs/api.md

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+# API Documentation
+
+This is the index of all generated REST API documentation for Pinakes.
+
+Documentation is generated from OpenAPI annotations via `cargo xtask docs` (or
+`just docs`). Do not edit generated files by hand.
+
+## Reference
+
+- [openapi.json](api/openapi.json) - Full OpenAPI 3.0 specification
+
+## Endpoints by Tag
+
+- [Analytics](api/analytics.md) - Usage analytics and viewing history
+- [Audit](api/audit.md) - Audit log entries
+- [Auth](api/auth.md) - Authentication and session management
+- [Backup](api/backup.md) - Database backup
+- [Books](api/books.md) - Book metadata, series, authors, and reading progress
+- [Collections](api/collections.md) - Media collections
+- [Config](api/config.md) - Server configuration
+- [Database](api/database.md) - Database administration
+- [Duplicates](api/duplicates.md) - Duplicate media detection
+- [Enrichment](api/enrichment.md) - External metadata enrichment
+- [Export](api/export.md) - Media library export
+- [Health](api/health.md) - Server health checks
+- [Integrity](api/integrity.md) - Library integrity checks and repairs
+- [Jobs](api/jobs.md) - Background job management
+- [Media](api/media.md) - Media item management
+- [Notes](api/notes.md) - Markdown notes link graph
+- [Photos](api/photos.md) - Photo timeline and map view
+- [Playlists](api/playlists.md) - Media playlists
+- [Plugins](api/plugins.md) - Plugin management
+- [Saved_searches](api/saved_searches.md) - Saved search queries
+- [Scan](api/scan.md) - Directory scanning
+- [Scheduled_tasks](api/scheduled_tasks.md) - Scheduled background tasks
+- [Search](api/search.md) - Full-text media search
+- [Shares](api/shares.md) - Media sharing and notifications
+- [Social](api/social.md) - Ratings, comments, favorites, and share links
+- [Statistics](api/statistics.md) - Library statistics
+- [Streaming](api/streaming.md) - HLS and DASH adaptive streaming
+- [Subtitles](api/subtitles.md) - Media subtitle management
+- [Sync](api/sync.md) - Multi-device library synchronization
+- [Tags](api/tags.md) - Media tag management
+- [Transcode](api/transcode.md) - Video transcoding sessions
+- [Upload](api/upload.md) - File upload and managed storage
+- [Users](api/users.md) - User and library access management
+- [Webhooks](api/webhooks.md) - Webhook configuration