### 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)

f->store_line("/* Localized versions of Info.plist keys */");
			f->store_line("");
			if (appnames.has(lang)) {
				f->store_line("CFBundleDisplayName = \"" + appnames[lang].operator String() + "\";");
			
			if (microphone_usage_descriptions.has(lang)) {
				f->store_line("NSMicrophoneUsageDescription = \"" + microphone_usage_descriptions[lang].operator String() + "\";");
			
			if (camera_usage_descriptions.has(lang)) {
				f->store_line("NSCameraUsageDescription = \"" + camera_usage_descriptions[lang].operator String() + "\";");
			
			if (location_usage_descriptions.has(lang)) {
				f->store_line("NSLocationUsageDescription = \"" + location_usage_descriptions[lang].operator String() + "\";");
			
			if (address_book_usage_descriptions.has(lang)) {
				f->store_line("NSContactsUsageDescription = \"" + address_book_usage_descriptions[lang].operator String() + "\";");
			
			if (calendar_usage_descriptions.has(lang)) {
				f->store_line("NSCalendarsUsageDescription = \"" + calendar_usage_descriptions[lang].operator String() + "\";");
			
			if (photos_library_usage_descriptions.has(lang)) {
				f->store_line("NSPhotoLibraryUsageDescription = \"" + photos_library_usage_descriptions[lang].operator String() + "\";");
			
			if (desktop_folder_usage_descriptions.has(lang)) {
				f->store_line("NSDesktopFolderUsageDescription = \"" + desktop_folder_usage_descriptions[lang].operator String() + "\";");
			
			if (documents_folder_usage_descriptions.has(lang)) {
				f->store_line("NSDocumentsFolderUsageDescription = \"" + documents_folder_usage_descriptions[lang].operator String() + "\";");
			
			if (downloads_folder_usage_descriptions.has(lang)) {