### 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)

err = da->copy(icon_path, p_iconset_dir + info.export_name);
			}
			if (err) {
				add_message(EXPORT_MESSAGE_ERROR, TTR("Export Icons"), vformat("Failed to export icon (%s): '%s'.", info.preset_key, icon_path));
				return err;
			}
		}
		sizes += String(info.actual_size_side) + "\n";
		if (i > 0) {
			json_description += ",";
		}
		json_description += String("{");
		json_description += String("\"idiom\":") + "\"" + info.idiom + "\",";
		json_description += String("\"size\":") + "\"" + info.unscaled_size + "\",";
		json_description += String("\"scale\":") + "\"" + info.scale + "\",";
		json_description += String("\"filename\":") + "\"" + info.export_name + "\"";
		json_description += String("}");
	}
	json_description += "]}";
	Ref<FileAccess> json_file = FileAccess::open(p_iconset_dir + "Contents.json", FileAccess::WRITE);
	ERR_FAIL_COND_V(json_file.is_null(), ERR_CANT_CREATE);
	CharString json_utf8 = json_description.utf8();
	json_file->store_buffer((const uint8_t *)json_utf8.get_data(), json_utf8.length());
	Ref<FileAccess> sizes_file = FileAccess::open(p_iconset_dir + "sizes", FileAccess::WRITE);
	ERR_FAIL_COND_V(sizes_file.is_null(), ERR_CANT_CREATE);
	CharString sizes_utf8 = sizes.utf8();
	sizes_file->store_buffer((const uint8_t *)sizes_utf8.get_data(), sizes_utf8.length());
	return OK;
}
Error EditorExportPlatformIOS::_export_loading_screen_file(const Ref<EditorExportPreset> &p_preset, const String &p_dest_dir) {