feat(scoreboard): unit 6 — it is a LAYER (source type, strip geometry, resolver, session hook)

Adds SourceType.Scoreboard with the same per-scene eye toggle, drag and presence as every other
element — 'prominent on BRB, dialled back on Live' is geometry, not a second mechanism. Default
geometry is the strip: 1920 wide, 56 tall, bottom edge.

The output resolver returns the presenter's cached frame exactly like the chat box and alert box do,
and every session start clears the tallies. Preview publication writes one shared WriteableBitmap on
the UI thread (the pump thread must never touch one), refreshed only when a displayed value moves.

Guard: ScoreboardLayerTests pins the enum member, the geometry constants, the resolver case and the
session hook, so the layer cannot quietly become a special widget.

ViewModels/MainViewModel.Sources.cs

@@ -30,6 +30,7 @@ public partial class MainViewModel
             SourceType.WebSource => "Web Resource",
             SourceType.ChatBox => "YouTube Chat",
             SourceType.AlertBox => "Stream Alerts",
+            SourceType.Scoreboard => "Scoreboard",
             _ => "Layer",
         };
 
@@ -52,9 +53,12 @@ public partial class MainViewModel
                 : NextSourceName(scene, baseName),
             Type = sourceType,
             X = sourceType == SourceType.ChatBox ? 1400 : sourceType == SourceType.AlertBox ? 620 : 0,
-            Y = sourceType == SourceType.ChatBox ? 20 : sourceType == SourceType.AlertBox ? 430 : 0,
-            Width = sourceType == SourceType.WebSource ? 640 : sourceType == SourceType.ChatBox ? 500 : sourceType == SourceType.AlertBox ? 680 : 0,
-            Height = sourceType == SourceType.WebSource ? 480 : sourceType == SourceType.ChatBox ? 648 : sourceType == SourceType.AlertBox ? 200 : 0,
+            // The scoreboard is a full-width bar: its Y comes from the edge it owns (resolved
+            // against the social bar at render time), never from a drag.
+            Y = sourceType == SourceType.Scoreboard ? 1024
+                : sourceType == SourceType.ChatBox ? 20 : sourceType == SourceType.AlertBox ? 430 : 0,
+            Width = sourceType == SourceType.WebSource ? 640 : sourceType == SourceType.ChatBox ? 500 : sourceType == SourceType.AlertBox ? 680 : sourceType == SourceType.Scoreboard ? 1920 : 0,
+            Height = sourceType == SourceType.WebSource ? 480 : sourceType == SourceType.ChatBox ? 648 : sourceType == SourceType.AlertBox ? 200 : sourceType == SourceType.Scoreboard ? 56 : 0,
         };
         _sceneGraph.AddElement(scene, source);