feat(mac): show relay attention badge without dimming paused state

apps/macos/Sources/Clawdis/AppMain.swift

@@ -592,9 +592,9 @@ enum ShellRunner {
 struct ClawdisApp: App {
     @NSApplicationDelegateAdaptor(AppDelegate.self) private var delegate
     @StateObject private var state: AppState
+    @StateObject private var relayManager = RelayProcessManager.shared
     @State private var statusItem: NSStatusItem?
     @State private var isMenuPresented = false
-    private let relayManager = RelayProcessManager.shared
 
     init() {
         _state = StateObject(wrappedValue: AppStateStore.shared)
@@ -605,7 +605,8 @@ struct ClawdisApp: App {
             CritterStatusLabel(
                 isPaused: self.state.isPaused,
                 isWorking: self.state.isWorking,
-                earBoostActive: self.state.earBoostActive)
+                earBoostActive: self.state.earBoostActive,
+                relayStatus: self.relayManager.status)
         }
             .menuBarExtraStyle(.menu)
             .menuBarExtraAccess(isPresented: self.$isMenuPresented) { item in
@@ -708,6 +709,7 @@ private struct CritterStatusLabel: View {
     var isPaused: Bool
     var isWorking: Bool
     var earBoostActive: Bool
+    var relayStatus: RelayProcessManager.Status
 
     @State private var blinkAmount: CGFloat = 0
     @State private var nextBlink = Date().addingTimeInterval(Double.random(in: 3.5...8.5))
@@ -721,6 +723,7 @@ private struct CritterStatusLabel: View {
     private let ticker = Timer.publish(every: 0.35, on: .main, in: .common).autoconnect()
 
     var body: some View {
+        ZStack(alignment: .bottomTrailing) {
             Group {
                 if self.isPaused {
                     Image(nsImage: CritterIconRenderer.makeIcon(blink: 0))
@@ -762,6 +765,14 @@ private struct CritterStatusLabel: View {
                         .onChange(of: self.isPaused) { _, _ in self.resetMotion() }
                 }
             }
+
+            if self.relayNeedsAttention {
+                Circle()
+                    .fill(self.relayBadgeColor)
+                    .frame(width: 8, height: 8)
+                    .offset(x: 4, y: 4)
+            }
+        }
     }
 
     private func resetMotion() {
@@ -827,6 +838,23 @@ private struct CritterStatusLabel: View {
             withAnimation(.interpolatingSpring(stiffness: 260, damping: 19)) { self.earWiggle = 0 }
         }
     }
+
+    private var relayNeedsAttention: Bool {
+        switch self.relayStatus {
+        case .failed, .stopped:
+            return !self.isPaused
+        case .starting, .restarting, .running:
+            return false
+        }
+    }
+
+    private var relayBadgeColor: Color {
+        switch self.relayStatus {
+        case .failed: return .red
+        case .stopped: return .orange
+        default: return .clear
+        }
+    }
 }
 
 enum CritterIconRenderer {