### 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)

HashSet<String> paths;
	Vector<String> path_remaps;
	if (p_preset->get_export_filter() == EditorExportPreset::EXPORT_ALL_RESOURCES) {
		
		_export_find_resources(EditorFileSystem::get_singleton()->get_filesystem(), paths);
	} else if (p_preset->get_export_filter() == EditorExportPreset::EXCLUDE_SELECTED_RESOURCES) {
		_export_find_resources(EditorFileSystem::get_singleton()->get_filesystem(), paths);
		Vector<String> files = p_preset->get_files_to_export();
		for (int i = 0; i < files.size(); i++) {
			paths.erase(files[i]);
		}
	} else if (p_preset->get_export_filter() == EditorExportPreset::EXPORT_CUSTOMIZED) {
		_export_find_customized_resources(p_preset, EditorFileSystem::get_singleton()->get_filesystem(), p_preset->get_file_export_mode("res://"), paths);
	} else {
		bool scenes_only = p_preset->get_export_filter() == EditorExportPreset::EXPORT_SELECTED_SCENES;
		Vector<String> files = p_preset->get_files_to_export();
		for (int i = 0; i < files.size(); i++) {
			if (scenes_only && ResourceLoader::get_resource_type(files[i]) != "PackedScene") {
				continue;
			}
			_export_find_dependencies(files[i], paths);
		}
		
		List<PropertyInfo> props;
		ProjectSettings::get_singleton()->get_property_list(&props);