fix(picker): lift sphere centre to mid-body so chest/head clicks hit

User reported intermittent selection — 'sometimes can be selected,
sometimes not'. Cause: WorldEntity.Position is at FEET level (Z=ground
for standing humanoids), so a 0.7m sphere centred there only covered
the lower legs. Clicks on chest (Z≈1.2m) or head (Z≈1.7m) missed
because the closest-approach distance from the cursor ray to the
feet-centered sphere exceeded the radius.

Fix:
  - Sphere centre now defaults to position.Z + 0.9 m (humanoid
    mid-body). New optional verticalOffsetForGuid callback overrides
    per entity.
  - Default radius bumped 0.7 → 1.0 m to match the new sphere
    placement (1.0 m at 0.9 m height covers a 1.8 m humanoid from
    shin to top-of-head).

GameWindow.PickAndStoreSelection wires the callback:
  - Creatures (ItemType.Creature flag): vz = 0.9 m (humanoid centre)
  - Large flat objects (BF_DOOR | BF_LIFESTONE | BF_PORTAL |
    BF_CORPSE): vz = 1.0 m + radius 2.0 m (mid-door/lifestone)
  - Everything else (ground items): vz = 0.2 m (just above feet)

Existing 9 WorldPicker tests still pass — their head-on ray geometry
doesn't depend on the vertical offset.

src/AcDream.App/Rendering/GameWindow.cs

@@ -9009,7 +9009,28 @@ public sealed class GameWindow : IDisposable
                     const uint LargeFlatMask = 0x1000u | 0x4000u | 0x40000u | 0x2000u;
                     if ((odf & LargeFlatMask) != 0) return 2.0f;
                 }
-                return 0.7f;
+                // 1.0 m sphere centred at chest height (see
+                // verticalOffsetForGuid) covers a 1.8 m humanoid from
+                // shin to crown without overlapping neighbours.
+                return 1.0f;
+            },
+            verticalOffsetForGuid: g =>
+            {
+                // Lift the pick sphere to mid-body so chest/head clicks
+                // hit instead of missing past the top of a feet-anchored
+                // sphere. WorldEntity.Position is at feet level
+                // (Z=ground); humanoids reach ~1.8 m, items sit close
+                // to the ground (~0.2 m above their feet).
+                if (_liveEntityInfoByGuid.TryGetValue(g, out var info)
+                    && (info.ItemType & AcDream.Core.Items.ItemType.Creature) != 0)
+                    return 0.9f; // humanoid mid-body
+                if (_lastSpawnByGuid.TryGetValue(g, out var s)
+                    && s.ObjectDescriptionFlags is { } odf)
+                {
+                    const uint LargeFlatMask = 0x1000u | 0x4000u | 0x40000u | 0x2000u;
+                    if ((odf & LargeFlatMask) != 0) return 1.0f; // mid-door
+                }
+                return 0.2f; // small ground item — sphere just above feet
             });
 
         if (picked is uint guid)

src/AcDream.Core/Selection/WorldPicker.cs

@@ -90,9 +90,11 @@ public static class WorldPicker
         IEnumerable<WorldEntity> candidates,
         uint skipServerGuid,
         float maxDistance = 50f,
-        Func<uint, float>? radiusForGuid = null)
+        Func<uint, float>? radiusForGuid = null,
+        Func<uint, float>? verticalOffsetForGuid = null)
     {
-        const float DefaultRadius = 0.7f;
+        const float DefaultRadius        = 1.0f;
+        const float DefaultVerticalOffset = 0.9f;
 
         if (direction.LengthSquared() < 1e-10f) return null;
 
@@ -103,18 +105,38 @@ public static class WorldPicker
             if (entity.ServerGuid == 0u)              continue;
             if (entity.ServerGuid == skipServerGuid)  continue;
 
-            // Per-entity radius (caller-supplied) lets large flat objects
+            // Per-entity radius + vertical offset (caller-supplied).
-            // like doors, lifestones, and portals use a bigger sphere
+            //
-            // than the 0.7 m humanoid/item default — their visible
+            // <para>
-            // surface extends well beyond their origin point.
+            // <b>Vertical offset (2026-05-15).</b> WorldEntity.Position
+            // is at the entity's feet (Z=ground for a humanoid). User
+            // clicks usually land on chest/head (Z ≈ 1–1.8 m). With the
+            // sphere centred at feet, a chest click is 1.2 m of vertical
+            // distance from sphere centre — bigger than any reasonable
+            // body radius — so the ray misses. Lifting the sphere
+            // centre to mid-body fixes this: 0.9 m default for
+            // humanoids, smaller for items, larger for tall objects.
+            // </para>
+            //
+            // <para>
+            // <b>Radius (2026-05-15).</b> Bumped default 0.7 → 1.0 m to
+            // accommodate the new vertical-offset sphere placement
+            // (chest-height sphere centre + 1.0 m radius covers from
+            // shin to top-of-head for a 1.8 m humanoid).
+            // </para>
             float r  = radiusForGuid?.Invoke(entity.ServerGuid) ?? DefaultRadius;
             float r2 = r * r;
+            float vz = verticalOffsetForGuid?.Invoke(entity.ServerGuid) ?? DefaultVerticalOffset;
+            var sphereCenter = new Vector3(
+                entity.Position.X,
+                entity.Position.Y,
+                entity.Position.Z + vz);
 
             // Geometric ray-sphere: oc = origin - center, b = dot(oc, dir),
             // c = |oc|^2 - r^2, discriminant = b^2 - c. If discriminant < 0
             // the ray misses the sphere. Otherwise nearest intersection is
             // t = -b - sqrt(discriminant).
-            var oc   = origin - entity.Position;
+            var oc   = origin - sphereCenter;
             float b  = Vector3.Dot(oc, direction);
             float c  = Vector3.Dot(oc, oc) - r2;
             float d  = b * b - c;