### Tested versions

Godot Engine v4.2.stable.official.46dc27791

### System information

Windows 10

### Issue description

When exporting to web, Godot fails with this error in the console:

> scene/main/window.cpp:884 - Attempting to make child window exclusive, but the parent window already has another exclusive child. This window: /root/@<!-- -->EditorNode@<!-- -->17120/@<!-- -->Panel@<!-- -->13/@<!-- -->ProjectExportDialog@<!-- -->559/@<!-- -->VBoxContainer@<!-- -->137/@<!-- -->AcceptDialog@<!-- -->411, parent window: /root/@<!-- -->EditorNode@<!-- -->17120/@<!-- -->Panel@<!-- -->13/@<!-- -->ProjectExportDialog@<!-- -->559, current exclusive child window: /root/@<!-- -->EditorNode@<!-- -->17120/@<!-- -->Panel@<!-- -->13/@<!-- -->ProjectExportDialog@<!-- -->559/@<!-- -->ProgressDialog@<!-- -->17444

![a](https://github.com/godotengine/godot/assets/2000051/bf9d22aa-d3fe-4e11-bff6-c387e740fe90)

This happens for newly created empty projects.


### Steps to reproduce

1. Open the attached project (or create a new project).
2. Project->Export->Export All
3. Observe the console error.  No output files are generated.


### Minimal reproduction project (MRP)

[export_test.zip](https://github.com/godotengine/godot/files/13574810/export_test.zip)

else if (GLOBAL_GET("application/config/macos_native_icon") != "") {
				icon_path = GLOBAL_GET("application/config/macos_native_icon");
			 else {
				icon_path = GLOBAL_GET("application/config/icon");
			
			if (!icon_path.is_empty()) {
				if (icon_path.get_extension() == "icns") {
					Ref<FileAccess> icon = FileAccess::open(icon_path, FileAccess::READ);
					if (icon.is_valid()) {
						data.resize(icon->get_length());
						icon->get_buffer(&data.write[0], icon->get_length());
					
				 else {
					Ref<Image> icon;
					icon.instantiate();
					err = ImageLoader::load_image(icon_path, icon);
					= OK && !icon->is_empty()) {
						_make_icon(p_preset, icon, data);
					
				
			
		
		if (data.size() > 0) {
			bose("ADDING: " + file + " size: " + itos(data.size()));
			// Write it into our application bundle.
			file = tmp_app_path_name.path_join(file);
			= OK) {
				err = tmp_app_dir->make_dir_recursive(file.get_base_dir());
				if (err != OK) {
					add_message(EXPORT_MESSAGE_ERROR, TTR("Export"), vformat(TTR("Could not create directory \"%s\"."), file.get_base_dir()));