GTK: followup update search state on activation (#9766)

followup from comment in this PR
https://github.com/ghostty-org/ghostty/pull/9765

src/apprt/gtk/class/search_overlay.zig

@@ -43,7 +43,14 @@ pub const SearchOverlay = extern struct {
                 bool,
                 .{
                     .default = false,
-                    .accessor = C.privateShallowFieldAccessor("active"),
+                    .accessor = gobject.ext.typedAccessor(
+                        Self,
+                        bool,
+                        .{
+                            .getter = getSearchActive,
+                            .setter = setSearchActive,
+                        },
+                    ),
                 },
             );
         };
@@ -231,10 +238,16 @@ pub const SearchOverlay = extern struct {
         // Select all text in the search entry field. -1 is distance from
         // the end, causing the entire text to be selected.
         priv.search_entry.as(gtk.Editable).selectRegion(0, -1);
+    }
 
-        // update search state with the active text
-        const text = priv.search_entry.as(gtk.Editable).getText();
-        signals.@"search-changed".impl.emit(self, null, .{text}, null);
+    // Set active status, and update search on activation
+    fn setSearchActive(self: *Self, active: bool) void {
+        const priv = self.private();
+        if (!priv.active and active) {
+            const text = priv.search_entry.as(gtk.Editable).getText();
+            signals.@"search-changed".impl.emit(self, null, .{text}, null);
+        }
+        priv.active = active;
     }
 
     /// Set the total number of search matches.
@@ -261,6 +274,10 @@ pub const SearchOverlay = extern struct {
         }
     }
 
+    fn getSearchActive(self: *Self) bool {
+        return self.private().active;
+    }
+
     fn getSearchTotal(self: *Self) u64 {
         return self.private().search_total orelse 0;
     }

src/apprt/gtk/class/surface.zig

@@ -1964,6 +1964,7 @@ pub const Surface = extern struct {
             SearchOverlay.properties.active.name,
             &value,
         );
+
         if (active) {
             priv.search_overlay.grabFocus();
         }