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]>

apps/server/src/modules/auth-settings/engine-routes.ts

@@ -114,7 +114,7 @@ const RUN_COLS = sql.raw(`id, workflow_name, version, status, attempts, worker_i
 export interface EngineQueries {
   listRuns(
     q: z.infer<typeof EngineRunQuery>,
-  ): Promise<{ items: ReturnType<typeof runView>[]; nextCursor: string | null }>;
+  ): Promise<{ items: ReturnType<typeof runView>[]; nextCursor: string | null; cursors: string[] }>;
   getRun(id: string): Promise<z.input<typeof EngineRunDetail> | null>;
   stats(): Promise<z.input<typeof EngineStats>>;
 }
@@ -127,7 +127,7 @@ export function engineQueries(db: Kysely<DB>, schema = "openworkflow"): EngineQu
     async listRuns(q) {
       const cur: Cursor | null = decodeCursor(q.cursor);
       const conds = [sql`namespace_id = ${NAMESPACE}`];
-      if (q.status) conds.push(sql`status = ${q.status}`);
+      if (q.status?.length) conds.push(sql`status = any(${q.status}::text[])`);
       if (q.workflowName) conds.push(sql`workflow_name = ${q.workflowName}`);
       if (q.from) conds.push(sql`created_at >= ${new Date(q.from)}`);
       if (q.to) conds.push(sql`created_at < ${new Date(q.to)}`);
@@ -144,6 +144,8 @@ export function engineQueries(db: Kysely<DB>, schema = "openworkflow"): EngineQu
         items: items.map(runView),
         nextCursor:
           rows.rows.length > q.limit && last ? encodeCursor({ us: Number(last.cursor_us), id: last.id }) : null,
+        // 每行的游标(triggeredBy 逐页筛选时在中途截断用)
+        cursors: items.map((r) => encodeCursor({ us: Number(r.cursor_us), id: r.id })),
       };
     },
 
@@ -242,6 +244,10 @@ export function engineQueries(db: Kysely<DB>, schema = "openworkflow"): EngineQu
   };
 }
 
+/** triggeredBy 筛选:每批扫描行数与单次请求扫描上限 */
+const TRIGGER_SCAN_BATCH = 200;
+const TRIGGER_SCAN_CAP = 2000;
+
 export function registerEngineRoutes(app: ModuleApp, ctx: ServerContext, opts: { schema?: string } = {}) {
   let q: EngineQueries | null = null;
   const queries = () => {
@@ -251,8 +257,32 @@ export function registerEngineRoutes(app: ModuleApp, ctx: ServerContext, opts: {
   // W9-I:列表与详情补 business 字段(engine-business.ts;查询失败降级为 null)
   const schema = opts.schema ?? "openworkflow";
   endpoint(app, D.runs, async ({ query }) => {
-    const page = await queries().listRuns(query);
-    return { ...page, items: await attachBusiness(ctx.db, schema, page.items) };
+    const triggered = query.triggeredBy?.length ? new Set(query.triggeredBy) : null;
+    if (!triggered) {
+      const page = await queries().listRuns(query);
+      return { items: await attachBusiness(ctx.db, schema, page.items), nextCursor: page.nextCursor };
+    }
+    // 触发来源是逐行推断的(engine-business.ts),不能下推成 SQL:按批扫描、补字段后筛选,
+    // 凑够 limit 或扫满 TRIGGER_SCAN_CAP 行就返回;游标停在最后检查的那一行,可能少于 limit 但仍有下一页
+    const out: Awaited<ReturnType<typeof attachBusiness<ReturnType<typeof runView>>>> = [];
+    let cursor = query.cursor;
+    let scanned = 0;
+    for (;;) {
+      const page = await queries().listRuns({ ...query, cursor, limit: TRIGGER_SCAN_BATCH });
+      const items = await attachBusiness(ctx.db, schema, page.items);
+      for (let i = 0; i < items.length; i++) {
+        scanned += 1;
+        const r = items[i]!;
+        if (r.business?.triggeredBy && triggered.has(r.business.triggeredBy)) out.push(r);
+        if (out.length === query.limit) {
+          const more = i < items.length - 1 || page.nextCursor !== null;
+          return { items: out, nextCursor: more ? page.cursors[i]! : null };
+        }
+      }
+      if (!page.nextCursor) return { items: out, nextCursor: null };
+      cursor = page.nextCursor;
+      if (scanned >= TRIGGER_SCAN_CAP) return { items: out, nextCursor: cursor };
+    }
   });
   endpoint(app, D.run, async ({ params }) => {
     const r = await queries().getRun(params.id);