Add dock icon badge for pending completion count

Sources/Shellraiser/Services/Workspaces/WorkspaceManager+Completions.swift

@@ -43,6 +43,7 @@ extension WorkspaceManager {
                     workspaceName: workspace.name
                 )
             }
+            updateDockBadge()
         } else if !payload.isEmpty {
             surfaceManager.setAgentType(
                 workspaceId: workspaceId,
@@ -124,6 +125,7 @@ extension WorkspaceManager {
                 persistence: persistence
             )
             completionNotifications.removeNotifications(for: event.surfaceId)
+            updateDockBadge()
             guard event.agentType != .codex else { return }
             markSurfaceBusy(event.surfaceId)
         case .completed:
@@ -228,6 +230,12 @@ extension WorkspaceManager {
         }
     }
 
+    /// Updates the dock icon badge to reflect the current pending completion count.
+    func updateDockBadge() {
+        let count = pendingCompletionTargets().count
+        NSApp.dockTile.badgeLabel = count > 0 ? "\(count)" : nil
+    }
+
     /// Rebuilds the next FIFO sequence cursor from persisted surface metadata.
     func synchronizePendingCompletionCursor() {
         let highestSequence = workspaces

Sources/Shellraiser/Services/Workspaces/WorkspaceManager+SurfaceOperations.swift

@@ -38,6 +38,7 @@ extension WorkspaceManager {
             persistence: persistence
         )
         completionNotifications.removeNotifications(for: surfaceId)
+        updateDockBadge()
         GhosttyRuntime.shared.endSearch(surfaceId: surfaceId)
         GhosttyRuntime.shared.releaseSurface(surfaceId: surfaceId)
         clearBusySurface(surfaceId)
@@ -75,6 +76,7 @@ extension WorkspaceManager {
             markRecentlyHandled(surfaceId: surfaceId)
         }
         completionNotifications.removeNotifications(for: surfaceId)
+        updateDockBadge()
         GhosttyRuntime.shared.focusSurfaceHost(surfaceId: surfaceId)
 
         if let workspace = workspace(id: workspaceId),

Sources/Shellraiser/Services/Workspaces/WorkspaceManager+WorkspaceLifecycle.swift

@@ -1,3 +1,4 @@
+import AppKit
 import Foundation
 
 /// Workspace lifecycle and selection flows for the shared manager.
@@ -17,6 +18,7 @@ extension WorkspaceManager {
             persistence: persistence
         )
         synchronizePendingCompletionCursor()
+        updateDockBadge()
         refreshFocusedWorkspaceGitBranches()
         hasLoadedPersistedWorkspaces = true
     }
@@ -69,6 +71,7 @@ extension WorkspaceManager {
             GhosttyRuntime.shared.releaseSurface(surfaceId: $0)
             clearGitBranch(surfaceId: $0)
         }
+        updateDockBadge()
     }
 
     /// Requests deletion for a workspace and asks for confirmation when live terminals exist.