test: settle delegated chat completion before plan assertions

Handle completion notifications in the deterministic agent instead of replaying the original plan command. Wait for the real completion turn and retain exact plan revision, output, project, and assignee assertions.

Co-Authored-By: Paperclip <noreply@paperclip.ing>

tests/e2e/agent-chat-projects.spec.ts

@@ -459,12 +459,15 @@ test("plan approval hands the preserved revision to an assigned project task", a
         { timeout: 60_000 },
       )
       .toBe(1);
+    // Task completion is delivered back to the chat as another real turn.
+    await idle(request, f.chatPath, 3);
     const task = (
       await json(await request.get(`/api/companies/${f.company.id}/issues`))
     )[0];
     expect(task.parentId).toBeNull();
     expect(task.projectId).toBeTruthy();
     expect(task.assigneeAgentId).toBe(f.agent.id);
+    await expect(page.getByText(`Delegated work completed: ${task.identifier}`, { exact: true })).toBeVisible();
     const plan = await json(
       await request.get(`/api/issues/${task.id}/documents/plan`),
     );

tests/e2e/fixtures/agent-chat.mjs

@@ -36,6 +36,10 @@ if (!task.conversationAgentId) {
   });
   process.exit(0);
 }
+if (ctx.wakeReason === "chat_task_completed") {
+  await comment(`Delegated work completed: ${ctx.chatCompletionUpdates.map((update) => update.identifier).join(", ")}`);
+  process.exit(0);
+}
 const comments = await api(`/issues/${task.id}/comments?order=asc`);
 const current =
   comments.find((c) => c.id === ctx.wakeCommentId) ??