### 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)

img_offset += di.data.size();
		}
	}
	
	for (size_t i = 0; i < sizeof(icon_size) / sizeof(icon_size[0]); ++i) {
		if (images.has(icon_size[i])) {
			const IconData &di = images[icon_size[i]];
			fw->store_buffer(di.data.ptr(), di.data.size());
		}
	}
	return OK;
}
Error EditorExportPlatformWindows::sign_shared_object(const Ref<EditorExportPreset> &p_preset, bool p_debug, const String &p_path) {
	if (p_preset->get("codesign/enable")) {
		return _code_sign(p_preset, p_path);
	} else {
		return OK;
	}
}
Error EditorExportPlatformWindows::modify_template(const Ref<EditorExportPreset> &p_preset, bool p_debug, const String &p_path, int p_flags) {
	if (p_preset->get("application/modify_resources")) {
		_rcedit_add_data(p_preset, p_path, false);
		String wrapper_path = p_path.get_basename() + ".console.exe";
		if (FileAccess::exists(wrapper_path)) {
			_rcedit_add_data(p_preset, wrapper_path, true);
		}
	}
	return OK;
}
Error EditorExportPlatformWindows::export_project(const Ref<EditorExportPreset> &p_preset, bool p_debug, const String &p_path, int p_flags) {