A new FTS5 index (`video_search`) over every video's title, channel, and
description — searchable across the whole library, not just the loaded
grid. `search_meta` tracks each video's mtime so a routine rescan only
re-reads a description sidecar when the video actually changed; vanished
videos are evicted. The index is refreshed after every scan in both
front-ends via the shared `library::build_search_entries`.
- database.rs: schema + `sync_search_index` (mtime-gated, one txn) +
`search_videos` (ranked, with a highlighted snippet) + a safe prefix
MATCH builder. Unit-tested (index/search/prefix/AND/evict/garbage).
- web.rs: `GET /api/search?q=&limit=`; index synced after the initial
scan, rescan, and maintenance-remove.
- Web UI: a 🔍 header button + `f` shortcut open a debounced search modal
with ranked results and highlighted description snippets; clicking a
result jumps to it.
- Desktop (egui): a 🔎 Search button opens a floating results window
querying the same index; clicking a result plays the video. Closes the
desktop/web parity gap for search.
Integration test seeds a real video + description, rescans, and asserts
title / prefix / description-only matches hit and unrelated misses.
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>