Wait for a person on a node before asserting the dump.

Needs.Count is true for everyone, so the old OR never caught empty occupancy.

Co-authored-by: Cursor <cursoragent@cursor.com>

docs/phases/10-craft/59-dump-nodes.md

@@ -11,17 +11,17 @@
 
 ## Задачи
 
-- [ ] `Dump_ReturnsPeopleNodesAndTimetable`: нанять, **включить** часы, дождаться человека с
+- [x] `Dump_ReturnsPeopleNodesAndTimetable`: нанять, **включить** часы, дождаться человека с
       `NodeId`, затем дамп. Не ждать людей на паузе
-- [ ] Нужды по-прежнему не пустые у всех в выборке, но явка — отдельный assert
-- [ ] Урок математики в дампе — как сейчас
+- [x] Нужды по-прежнему не пустые у всех в выборке, но явка — отдельный assert
+- [x] Урок математики в дампе — как сейчас
 
 ## Тесты, без которых фаза не закрыта
 
-- [ ] После найма математика и хода часов дамп содержит человека с непустым `NodeId`
-- [ ] Все люди в дампе с id, именем и непустым `Needs`
-- [ ] В `dump.Lessons` есть Mathematics
-- [ ] Неизвестный id — по-прежнему 404 `unknown-school`
+- [x] После найма математика и хода часов дамп содержит человека с непустым `NodeId`
+- [x] Все люди в дампе с id, именем и непустым `Needs`
+- [x] В `dump.Lessons` есть Mathematics
+- [x] Неизвестный id — по-прежнему 404 `unknown-school`
 
 ## Критерий готовности
 

tests/HSchool.AppHost.Tests/ServiceabilityTests.cs

@@ -89,16 +89,17 @@ public class ServiceabilityTests(AppHostFixture fixture)
         using var client = fixture.App.CreateHttpClient("server");
         await SchoolApiTests.ResetAsync(client);
         var school = await SchoolApiTests.CreateAsync(client, "Дамп", TuesdayMorning);
+        // Create starts the clock. Presence still goes out while paused (often empty); waiting
+        // for people then hangs. Hire, keep time moving, then dump.
+        Assert.True(school.Running);
         await HireMathAsync(client, school.Id);
 
-        var dump = await client.GetFromJsonAsync<SchoolDumpResponse>(
-            $"/api/dev/schools/{school.Id}/dump",
-            TestContext.Current.CancellationToken);
+        var dump = await WaitUntilSomeoneIsOnANodeAsync(client, school.Id);
 
-        Assert.NotNull(dump);
         Assert.Equal(school.Id, dump.Id);
+        Assert.True(dump.Running);
         Assert.NotEmpty(dump.People);
-        Assert.Contains(dump.People, person => person.NodeId is not null || person.Needs.Count > 0);
+        Assert.Contains(dump.People, person => !string.IsNullOrWhiteSpace(person.NodeId));
         Assert.All(dump.People, person =>
         {
             Assert.False(string.IsNullOrWhiteSpace(person.Id));
@@ -119,6 +120,36 @@ public class ServiceabilityTests(AppHostFixture fixture)
         Assert.Equal("unknown-school", await ProblemCodeAsync(response));
     }
 
+    /// <summary>
+    /// Polls the dump while the clock is moving. A paused school would keep answering with empty
+    /// occupancy; fail immediately instead of waiting that out.
+    /// </summary>
+    private static async Task<SchoolDumpResponse> WaitUntilSomeoneIsOnANodeAsync(HttpClient client, int schoolId)
+    {
+        SchoolDumpResponse? dump = null;
+        for (var attempt = 0; attempt < 120; attempt++)
+        {
+            dump = await client.GetFromJsonAsync<SchoolDumpResponse>(
+                $"/api/dev/schools/{schoolId}/dump",
+                TestContext.Current.CancellationToken);
+            Assert.NotNull(dump);
+            if (!dump.Running)
+            {
+                Assert.Fail("Clock is paused; occupancy stays empty and this wait would hang.");
+            }
+
+            if (dump.People.Any(person => !string.IsNullOrWhiteSpace(person.NodeId)))
+            {
+                return dump;
+            }
+
+            await Task.Delay(250, TestContext.Current.CancellationToken);
+        }
+
+        throw new InvalidOperationException(
+            $"Nobody had a NodeId after hire with the clock running at {dump?.GameTime:HH:mm}.");
+    }
+
     private static async Task HireMathAsync(HttpClient client, int schoolId)
     {
         var staffing = await client.GetFromJsonAsync<StaffingResponse>(