Give each school its own people seed so composition no longer follows create order.

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

src/HSchool.Server/Game/SchoolWorker.cs

@@ -34,6 +34,7 @@ internal sealed class SchoolWorker
     private readonly MapLayout? _savedMap;
     private readonly string? _nameSetId;
     private string? _nativeLanguage;
+    private readonly int? _createSeed;
     private readonly IReadOnlyList<PresenceSnapshot>? _savedPresence;
     private readonly Action<int> _onFailed;
 
@@ -67,6 +68,7 @@ internal sealed class SchoolWorker
         MapLayout? savedMap,
         string? nameSetId,
         string? nativeLanguage,
+        int? createSeed,
         IReadOnlyList<PresenceSnapshot>? savedPresence,
         SimulationOptions options,
         ClientRegistry clients,
@@ -86,6 +88,7 @@ internal sealed class SchoolWorker
         _savedMap = savedMap;
         _nameSetId = nameSetId;
         _nativeLanguage = nativeLanguage;
+        _createSeed = createSeed;
         _savedPresence = savedPresence;
         _options = options;
         _clients = clients;
@@ -94,7 +97,7 @@ internal sealed class SchoolWorker
         _mods = mods;
         _onFailed = onFailed;
         _logger = logger;
-        _snapshot = new SchoolState(id, name, time, running, (byte)speedIndex);
+        _snapshot = new SchoolState(id, name, time, running, (byte)speedIndex, createSeed ?? 0);
     }
 
     public int Id => _id;
@@ -577,7 +580,8 @@ internal sealed class SchoolWorker
                 school.Name,
                 school.Clock.Time,
                 school.Clock.IsRunning,
-                (byte)school.Clock.SpeedIndex));
+                (byte)school.Clock.SpeedIndex,
+                school.PeopleSeed));
         Volatile.Write(ref _rosterSnapshot, school.Roster);
         Volatile.Write(ref _applicantSnapshot, school.Applicants);
         Volatile.Write(ref _timetableSnapshot, school.Timetable);
@@ -856,7 +860,12 @@ internal sealed class SchoolWorker
 
         if (_isNew)
         {
-            seed = school.Id;
+            if (_createSeed is not int createSeed)
+            {
+                throw new InvalidOperationException($"School {_id} was created without a people seed.");
+            }
+
+            seed = createSeed;
             native = ResolveNative(catalog, nameSetId, seed, _nativeLanguage, generating: true);
             _nativeLanguage = native;
             roster = RosterGenerator.Generate(catalog, map, seed, nameSetId, school.Clock.Time, native);