Enhance school creation functionality by introducing support for name sets in the API and UI. Update the catalog to include skills, traits, body attributes, needs, and name sets, improving character generation capabilities. Revise localization strings for better user guidance and update tests to validate the new name set functionality and ensure robustness in school creation processes.

src/HSchool.People/FamilyPlanner.cs

@@ -0,0 +1,47 @@
+namespace HSchool.People;
+
+internal readonly record struct FamilyPlan(int FamilyIndex, IReadOnlyList<PupilSeat> Seats);
+
+/// <summary>
+/// Walks seats in order and groups them into families of 1–3. A short remainder becomes
+/// singleton families rather than shrinking an earlier family's intended size, so a longer
+/// seat list only appends families.
+/// </summary>
+internal static class FamilyPlanner
+{
+    public static IReadOnlyList<FamilyPlan> Plan(int schoolSeed, IReadOnlyList<PupilSeat> seats)
+    {
+        var plans = new List<FamilyPlan>();
+        var offset = 0;
+        var index = 0;
+        while (offset < seats.Count)
+        {
+            var remaining = seats.Count - offset;
+            var want = ChildCount(schoolSeed, index);
+            var take = want <= remaining ? want : 1;
+            var slice = new PupilSeat[take];
+            for (var i = 0; i < take; i++)
+            {
+                slice[i] = seats[offset + i];
+            }
+
+            plans.Add(new FamilyPlan(index, slice));
+            offset += take;
+            index++;
+        }
+
+        return plans;
+    }
+
+    public static int ChildCount(int schoolSeed, int familyIndex)
+    {
+        var rng = new Random(Seed.Mix(schoolSeed, familyIndex, Seed.ChildCountSalt));
+        var roll = rng.Next(100);
+        if (roll < 50)
+        {
+            return 1;
+        }
+
+        return roll < 85 ? 2 : 3;
+    }
+}