### 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)

return ERR_CANT_CREATE;
				};
				f->store_buffer(data.ptr(), data.size());
			}
#if defined(MACOS_ENABLED) || defined(LINUXBSD_ENABLED)
			if (is_execute) {
				
				chmod(file.utf8().get_data(), 0755);
			}
#endif
		}
		ret = unzGoToNextFile(src_pkg_zip);
	}
	
	unzClose(src_pkg_zip);
	if (!found_library) {
		ERR_PRINT("Requested template library '" + library_to_use + "' not found. It might be missing from your template archive.");
		return ERR_FILE_NOT_FOUND;
	}
	Dictionary appnames = GLOBAL_GET("application/config/name_localized");
	Dictionary camera_usage_descriptions = p_preset->get("privacy/camera_usage_description_localized");
	Dictionary microphone_usage_descriptions = p_preset->get("privacy/microphone_usage_description_localized");
	Dictionary photolibrary_usage_descriptions = p_preset->get("privacy/photolibrary_usage_description_localized");
	Vector<String> translations = GLOBAL_GET("internationalization/locale/translations");
	if (translations.size() > 0) {
		{
			String fname = dest_dir + binary_name + "/en.lproj";
			tmp_app_path->make_dir_recursive(fname);
			Ref<FileAccess> f = FileAccess::open(fname + "/InfoPlist.strings", FileAccess::WRITE);
			f->store_line("/* Localized versions of Info.plist keys */");