### 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)

r_options->push_back(ExportOption(PropertyInfo(Variant::INT, "application/targeted_device_family", PROPERTY_HINT_ENUM, "iPhone,iPad,iPhone & iPad"), 2));
	r_options->push_back(ExportOption(PropertyInfo(Variant::STRING, "application/bundle_identifier", PROPERTY_HINT_PLACEHOLDER_TEXT, "com.example.game"), "", false, true));
	r_options->push_back(ExportOption(PropertyInfo(Variant::STRING, "application/signature"), ""));
	r_options->push_back(ExportOption(PropertyInfo(Variant::STRING, "application/short_version", PROPERTY_HINT_PLACEHOLDER_TEXT, "Leave empty to use project version"), ""));
	r_options->push_back(ExportOption(PropertyInfo(Variant::STRING, "application/version", PROPERTY_HINT_PLACEHOLDER_TEXT, "Leave empty to use project version"), ""));
	r_options->push_back(ExportOption(PropertyInfo(Variant::INT, "application/icon_interpolation", PROPERTY_HINT_ENUM, "Nearest neighbor,Bilinear,Cubic,Trilinear,Lanczos"), 4));
	r_options->push_back(ExportOption(PropertyInfo(Variant::INT, "application/launch_screens_interpolation", PROPERTY_HINT_ENUM, "Nearest neighbor,Bilinear,Cubic,Trilinear,Lanczos"), 4));
	r_options->push_back(ExportOption(PropertyInfo(Variant::BOOL, "application/export_project_only"), false));
	Vector<PluginConfigIOS> found_plugins = get_plugins();
	for (int i = 0; i < found_plugins.size(); i++) {
		r_options->push_back(ExportOption(PropertyInfo(Variant::BOOL, vformat("%s/%s", PNAME("plugins"), found_plugins[i].name)), false));
	}
	HashSet<String> plist_keys;
	for (int i = 0; i < found_plugins.size(); i++) {
		
		PluginConfigIOS plugin = found_plugins[i];
		for (const KeyValue<String, PluginConfigIOS::PlistItem> &E : plugin.plist) {
			switch (E.value.type) {
				case PluginConfigIOS::PlistItemType::STRING_INPUT: {
					String preset_name = "plugins_plist/" + E.key;
					if (!plist_keys.has(preset_name)) {
						r_options->push_back(ExportOption(PropertyInfo(Variant::STRING, preset_name), E.value.value));
						plist_keys.insert(preset_name);
					}
				} break;
				default:
					continue;
			}
		}
	}