feat(server,contracts,web): dashboard library counts and engine runs triggeredBy/multi-status filters

- GET /dashboard: automation.library {entities, movies, series, seasons,
  episodes, assets} and automation.slotSatisfiedRate; home media overview
  shows the counts instead of placeholders.
- GET /engine/runs: `status` accepts comma-separated values; new
  `triggeredBy` filter (comma-separated) evaluated server-side by scanning
  batches and paging with the last inspected row's cursor (scan cap 2000).
- Task stream: source filter and the "active" tab (running,pending) are now
  one paginated server query.

Co-Authored-By: Claude Opus 5.5 <[email protected]>

packages/contracts/src/organization.ts

@@ -469,6 +469,17 @@ export const Dashboard = z.object({
     }),
     activeSubscriptions: NonNegInt,
     slotCounts: SlotStatusCounts,
+    /** 版本目标满足率 = satisfied / 全部版本目标(0–1);没有版本目标时为 null */
+    slotSatisfiedRate: z.number().min(0).max(1).nullable(),
+    /** 本地账本计数:作品不含已合并;季 = content_unit.kind=season(不含 retired);资产 = active 的视频 / 原盘目录 */
+    library: z.object({
+      entities: NonNegInt,
+      movies: NonNegInt,
+      series: NonNegInt,
+      seasons: NonNegInt,
+      episodes: NonNegInt,
+      assets: NonNegInt,
+    }),
   }),
   currentWork: z.object({
     downloading: NonNegInt,