### 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)

Dictionary documents_folder_usage_descriptions = p_preset->get("privacy/documents_folder_usage_description_localized");
	Dictionary downloads_folder_usage_descriptions = p_preset->get("privacy/downloads_folder_usage_description_localized");
	Dictionary network_volumes_usage_descriptions = p_preset->get("privacy/network_volumes_usage_description_localized");
	Dictionary removable_volumes_usage_descriptions = p_preset->get("privacy/removable_volumes_usage_description_localized");
	Dictionary copyrights = p_preset->get("application/copyright_localized");
	Vector<String> translations = GLOBAL_GET("internationalization/locale/translations");
	if (translations.size() > 0) {
		{
			String fname = tmp_app_path_name + "/Contents/Resources/en.lproj";
			tmp_app_dir->make_dir_recursive(fname);
			Ref<FileAccess> f = FileAccess::open(fname + "/InfoPlist.strings", FileAccess::WRITE);
			f->store_line("/* Localized versions of Info.plist keys */");
			f->store_line("");
			f->store_line("CFBundleDisplayName = \"" + GLOBAL_GET("application/config/name").operator String() + "\";");
			if (!((String)p_preset->get("privacy/microphone_usage_description")).is_empty()) {
				f->store_line("NSMicrophoneUsageDescription = \"" + p_preset->get("privacy/microphone_usage_description").operator String() + "\";");
			
			if (!((String)p_preset->get("privacy/camera_usage_description")).is_empty()) {
				f->store_line("NSCameraUsageDescription = \"" + p_preset->get("privacy/camera_usage_description").operator String() + "\";");
			
			if (!((String)p_preset->get("privacy/location_usage_description")).is_empty()) {
				f->store_line("NSLocationUsageDescription = \"" + p_preset->get("privacy/location_usage_description").operator String() + "\";");
			
			if (!((String)p_preset->get("privacy/address_book_usage_description")).is_empty()) {
				f->store_line("NSContactsUsageDescription = \"" + p_preset->get("privacy/address_book_usage_description").operator String() + "\";");
			
			if (!((String)p_preset->get("privacy/calendar_usage_description")).is_empty()) {
				f->store_line("NSCalendarsUsageDescription = \"" + p_preset->get("privacy/calendar_usage_description").operator String() + "\";");
			
			if (!((String)p_preset->get("privacy/photos_library_usage_description")).is_empty()) {