### 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)

= OK) {
		bose("Creating " + tmp_app_path_name + "/Contents/Frameworks");
		err = tmp_app_dir->make_dir_recursive(tmp_app_path_name + "/Contents/Frameworks");
		if (err != OK) {
			add_message(EXPORT_MESSAGE_ERROR, TTR("Export"), vformat(TTR("Could not create directory \"%s\"."), tmp_app_path_name + "/Contents/Frameworks"));
		
	
	if ((err == OK) && helpers.size() > 0) {
		print_line("Creating " + tmp_app_path_name + "/Contents/Helpers");
		err = tmp_app_dir->make_dir_recursive(tmp_app_path_name + "/Contents/Helpers");
		if (err != OK) {
			add_message(EXPORT_MESSAGE_ERROR, TTR("Export"), vformat(TTR("Could not create directory \"%s\"."), tmp_app_path_name + "/Contents/Helpers"));
		
	
	= OK) {
		bose("Creating " + tmp_app_path_name + "/Contents/Resources");
		err = tmp_app_dir->make_dir_recursive(tmp_app_path_name + "/Contents/Resources");
		if (err != OK) {
			add_message(EXPORT_MESSAGE_ERROR, TTR("Export"), vformat(TTR("Could not create directory \"%s\"."), tmp_app_path_name + "/Contents/Resources"));
		
	
	Dictionary appnames = GLOBAL_GET("application/config/name_localized");
	Dictionary microphone_usage_descriptions = p_preset->get("privacy/microphone_usage_description_localized");
	Dictionary camera_usage_descriptions = p_preset->get("privacy/camera_usage_description_localized");
	Dictionary location_usage_descriptions = p_preset->get("privacy/location_usage_description_localized");
	Dictionary address_book_usage_descriptions = p_preset->get("privacy/address_book_usage_description_localized");
	Dictionary calendar_usage_descriptions = p_preset->get("privacy/calendar_usage_description_localized");
	Dictionary photos_library_usage_descriptions = p_preset->get("privacy/photos_library_usage_description_localized");
	Dictionary desktop_folder_usage_descriptions = p_preset->get("privacy/desktop_folder_usage_description_localized");