macos: start_search refocuses the search input

macos/Sources/Ghostty/Ghostty.App.swift

@@ -1662,8 +1662,12 @@ extension Ghostty {
 
                 let startSearch = Ghostty.Action.StartSearch(c: v)
                 DispatchQueue.main.async {
+                    if surfaceView.searchState != nil {
+                        NotificationCenter.default.post(name: .ghosttySearchFocus, object: surfaceView)
+                    } else {
                         surfaceView.searchState = Ghostty.SurfaceView.SearchState(from: startSearch)
                     }
+                }
 
             default:
                 assertionFailure()

macos/Sources/Ghostty/Package.swift

@@ -396,6 +396,9 @@ extension Notification.Name {
     /// Notification sent when scrollbar updates
     static let ghosttyDidUpdateScrollbar = Notification.Name("com.mitchellh.ghostty.didUpdateScrollbar")
     static let ScrollbarKey = ghosttyDidUpdateScrollbar.rawValue + ".scrollbar"
+
+    /// Focus the search field
+    static let ghosttySearchFocus = Notification.Name("com.mitchellh.ghostty.searchFocus")
 }
 
 // NOTE: I am moving all of these to Notification.Name extensions over time. This

macos/Sources/Ghostty/SurfaceView.swift

@@ -441,6 +441,10 @@ extension Ghostty {
                     }
                     isSearchFieldFocused = true
                 }
+                .onReceive(NotificationCenter.default.publisher(for: .ghosttySearchFocus)) { notification in
+                    guard notification.object as? SurfaceView === surfaceView else { return }
+                    isSearchFieldFocused = true
+                }
                 .background(
                     GeometryReader { barGeo in
                         Color.clear.onAppear {