Handles big libraries (your ~8500 movies) like music does instead of rendering
everything at once.
- DB: sort_title populated article-aware on upsert ('The Matrix' files under M);
query_library(kind, search, letter, sort, status, page, limit) does all
filtering/sorting/paging in SQL and returns music's pagination shape
{page,total_pages,total_count,has_prev,has_next} + badge fields (resolution,
owned/episode counts).
- GET /api/video/library now takes those params (per kind) instead of dumping
everything.
- Library page: 75/page with ← Previous / Page X of Y / Next → (music's exact
controls/classes), Sort (Title/Year/Recently Added) + Owned/Wanted filter,
server-side search + A–Z. Cards gain a resolution chip (4K/1080p/…) and the
owned/wanted meta. Still not clickable.
124 tests green.
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