fix(tasks): support status query param in list API and use it in today-tasks widget

The dashboard widget was filtering with a broken filter=status!=done query
param that the list API never interpreted, so completed tasks could appear.
Add a status= todo,in_progress filter to GET /api/tasks and update the widget
to use it (also fix domain badge to use domainId).

apps/web/app/api/tasks/route.ts

@@ -34,6 +34,7 @@ export const GET = withAuth(async (request: NextRequest, _user) => {
   const page = Math.max(1, parseInt(searchParams.get('page') || '1'));
   const perPage = Math.min(100, Math.max(1, parseInt(searchParams.get('perPage') || '50')));
   const filter = searchParams.get('filter') || undefined;
+  const status = searchParams.get('status');
   const sort = searchParams.get('sort') || '-created';
   const domainId = searchParams.get('domain') || undefined;
 
@@ -54,6 +55,10 @@ export const GET = withAuth(async (request: NextRequest, _user) => {
 
   const conditions: any[] = [isNull(tasks.deletedAt)];
   if (domainId) conditions.push(eq(tasks.domainId, domainId));
+  if (status) {
+    const statuses = status.split(',');
+    conditions.push(inArray(tasks.status, statuses as any));
+  }
   if (filter) {
     conditions.push(
       or(

apps/web/components/dashboard/widgets/today-tasks-widget.tsx

@@ -12,7 +12,8 @@ interface Task {
   title: string;
   status: string;
   priority: string;
-  domain: string;
+  domainId?: string;
+  domain?: string;
 }
 
 interface Domain { id: string; name: string; color: string; }
@@ -43,7 +44,7 @@ export function TodayTasksWidget() {
   async function fetchTasks() {
     try {
       const response = await fetch(
-        '/api/tasks?filter=status!%3D%22done%22&perPage=5&sort=-priority'
+        '/api/tasks?status=todo,in_progress&perPage=5&sort=-priority'
       );
       if (response.ok) {
         const data = await response.json();
@@ -115,7 +116,7 @@ export function TodayTasksWidget() {
                   {task.title}
                 </span>
                 <Badge variant="outline" className="text-xs">
-                  {domainMap.get(task.domain) || task.domain}
+                  {domainMap.get(task.domainId ?? task.domain ?? '') || task.domainId || task.domain}
                 </Badge>
               </div>
             ))}