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/web/app/components/tasks/labels.ts

@@ -25,6 +25,13 @@ export const SOURCE_LABEL: Record<TaskSource, string> = {
   manual: "手动",
   agent: "Agent",
 };
+/** 来源 → 服务端 triggeredBy 筛选值(逗号分隔多值) */
+export const SOURCE_TRIGGERED_BY: Record<TaskSource, string> = {
+  schedule: "schedule",
+  event: "event",
+  manual: "user,api_key",
+  agent: "agent",
+};
 export function sourceOf(t: EngineTriggeredBy | null | undefined): TaskSource | null {
   if (!t) return null;
   if (t === "user" || t === "api_key") return "manual";

apps/web/app/components/tasks/task-stream.tsx

@@ -3,7 +3,7 @@ import type { EngineBusinessKind, EngineRun, ScheduledJob } from "@umt/contracts
 import { CalendarClock, ExternalLink, History, ListTodo, X } from "lucide-react";
 import { useMemo, useRef, useState } from "react";
 import { Link } from "react-router";
-import { useEngineRuns, useEngineRunsPage } from "~/api/engine.ts";
+import { useEngineRuns } from "~/api/engine.ts";
 import { useScheduleBoard } from "~/api/schedules.ts";
 import { DataTable } from "~/components/console/data-table.tsx";
 import { FilterBar, FilterSelect } from "~/components/console/filter-bar.tsx";
@@ -22,6 +22,7 @@ import {
   runStatus,
   runTitle,
   SOURCE_LABEL,
+  SOURCE_TRIGGERED_BY,
   sourceOf,
   type TaskSource,
   workflowLabel,
@@ -132,26 +133,20 @@ export function TaskStream({
     businessKind: (filters.kind || undefined) as EngineBusinessKind | undefined,
     businessRefId: filters.ref || undefined,
     workflowName: filters.workflow || undefined,
+    triggeredBy: SOURCE_TRIGGERED_BY[filters.source as TaskSource] ?? undefined,
     from,
   };
+  const active = tab === "active";
+  // 进行中 = 进行中 + 排队(status 多值,服务端分页);来源筛选同样在服务端做
   const list = useEngineRuns(
     {
       ...base,
-      status: tab === "failed" ? "failed" : filters.status || undefined,
+      status: active ? "running,pending" : tab === "failed" ? "failed" : filters.status || undefined,
     },
-    tab !== "active",
+    true,
+    active ? 10_000 : false,
   );
-  // 进行中 = 进行中 + 排队(两次取第一页合并)
-  const running = useEngineRunsPage({ ...base, status: "running" }, 100, 10_000, tab === "active");
-  const pending = useEngineRunsPage({ ...base, status: "pending" }, 100, 10_000, tab === "active");
-
-  const active = tab === "active";
-  const loaded = active
-    ? running.data && pending.data
-      ? [...running.data.items, ...pending.data.items]
-      : undefined
-    : list.data?.pages.flatMap((p) => p.items);
-  const rows = filters.source ? loaded?.filter((r) => sourceOf(r.business?.triggeredBy) === filters.source) : loaded;
+  const rows = list.data?.pages.flatMap((p) => p.items);
   const filtered = Object.values(filters).some(Boolean);
 
   return (
@@ -212,17 +207,12 @@ export function TaskStream({
       <DataTable<EngineRun>
         rows={rows}
         rowKey={(r) => r.id}
-        loading={active ? running.isPending || pending.isPending : list.isPending}
-        error={active ? (running.error ?? pending.error) : list.error}
-        onRetry={() => {
-          if (active) {
-            void running.refetch();
-            void pending.refetch();
-          } else void list.refetch();
-        }}
+        loading={list.isPending}
+        error={list.error}
+        onRetry={() => void list.refetch()}
         onRowClick={(r) => onOpen(r.id)}
         selectedKey={selectedId}
-        hasMore={!active && !!list.hasNextPage}
+        hasMore={!!list.hasNextPage}
         onLoadMore={() => list.fetchNextPage()}
         loadingMore={list.isFetchingNextPage}
         empty={{
@@ -234,7 +224,7 @@ export function TaskStream({
               : tab === "failed"
                 ? "没有失败的任务"
                 : "还没有任务",
-          description: filters.source && loaded?.length ? "来源筛选只作用于已加载的记录,可加载更多再看。" : undefined,
+          description: filters.source && list.hasNextPage ? "按来源筛选时一页可能较少,可加载更多继续查找。" : undefined,
         }}
         columns={[
           {