### 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)

Ref<EditorExportPreset> current = get_current_preset();
	if (current.is_null()) {
		return;
	}
	delete_confirm->set_text(vformat(TTR("Delete preset '%s'?"), current->get_name()));
	delete_confirm->popup_centered();
}
void ProjectExportDialog::_delete_preset_confirm() {
	int idx = presets->get_current();
	_edit_preset(-1);
	export_button->set_disabled(true);
	get_ok_button()->set_disabled(true);
	EditorExport::get_singleton()->remove_export_preset(idx);
	_update_presets();
	
	
	_update_export_all();
}
Variant ProjectExportDialog::get_drag_data_fw(const Point2 &p_point, Control *p_from) {