feat: add is_chat field to board memory and task_id to approvals, update pagination and response models

frontend/src/components/BoardApprovalsPanel.tsx

@@ -161,6 +161,7 @@ const payloadValue = (payload: Approval["payload"], key: string) => {
 const approvalSummary = (approval: Approval) => {
   const payload = approval.payload ?? {};
   const taskId =
+    approval.task_id ??
     payloadValue(payload, "task_id") ??
     payloadValue(payload, "taskId") ??
     payloadValue(payload, "taskID");
@@ -223,7 +224,7 @@ export function BoardApprovalsPanel({
     const raw = usingExternal
       ? externalApprovals ?? []
       : approvalsQuery.data?.status === 200
-        ? approvalsQuery.data.data
+        ? approvalsQuery.data.data.items ?? []
         : [];
     return raw.map(normalizeApproval);
   }, [approvalsQuery.data, externalApprovals, usingExternal]);
@@ -266,9 +267,12 @@ export function BoardApprovalsPanel({
                 if (!previous || previous.status !== 200) return previous;
                 return {
                   ...previous,
-                  data: previous.data.map((item) =>
-                    item.id === approvalId ? result.data : item,
-                  ),
+                  data: {
+                    ...previous.data,
+                    items: previous.data.items.map((item) =>
+                      item.id === approvalId ? result.data : item,
+                    ),
+                  },
                 };
               },
             );

frontend/src/components/organisms/TaskBoard.tsx

@@ -15,8 +15,8 @@ type Task = {
   description?: string | null;
   due_at?: string | null;
   assigned_agent_id?: string | null;
-  assignee?: string;
-  approvalsPendingCount?: number;
+  assignee?: string | null;
+  approvals_pending_count?: number;
 };
 
 type TaskBoardProps = {
@@ -187,9 +187,9 @@ export function TaskBoard({
                       key={task.id}
                       title={task.title}
                       priority={task.priority}
-                      assignee={task.assignee}
+                      assignee={task.assignee ?? undefined}
                       due={formatDueDate(task.due_at)}
-                      approvalsPendingCount={task.approvalsPendingCount}
+                      approvalsPendingCount={task.approvals_pending_count}
                       onClick={() => onTaskSelect?.(task)}
                       draggable
                       isDragging={draggingId === task.id}