### Godot version

v4.1.1.stable.official [bd6af8e0e]

### System information

Godot v4.1.1.stable - Debian GNU/Linux trixie/sid trixie - Vulkan (Compatibility) - Mesa Intel(R) HD Graphics 520 (SKL GT2) () - Intel(R) Core(TM) i7-6500U CPU @ 2.50GHz (4 Threads)

### Issue description

After right clicking in thet "Filter Nodes" menu in the scene tree dock, the sub-menu is populated with a "Search" icon.

If I later switch themes in the same session, this icon is never updated to match the new theme.

![image](https://github.com/godotengine/godot/assets/660911/14336bb3-12ca-48c8-b030-8ada6ac27ec6)


### Steps to reproduce

1. Right click in the "Filter Nodes" menu in scene tree dock
2. Switch themes
3. Right click again in the "Filter Nodes" menu

Expected result: Icon has updated to match the theme I am currently using
Actual result: Icon is still using the theme I launched Godot with

### Minimal reproduction project

N/A
_append_filter_options_to(filter->get_menu());
}
void SceneTreeDock::_filter_changed(const String &p_filter) {
	scene_tree->set_filter(p_filter);
	String warning = scene_tree->get_filter_term_warning();
	if (!warning.is_empty()) {
		filter->add_theme_icon_override(SNAME("clear"), get_theme_icon(SNAME("NodeWarning"), SNAME("EditorIcons")));
		filter->set_tooltip_text(warning);
	} else {
		filter->remove_theme_icon_override(SNAME("clear"));
		filter->set_tooltip_text("");
	}
}
void SceneTreeDock::_filter_gui_input(const Ref<InputEvent> &p_event) {
	Ref<InputEventMouseButton> mb = p_event;
	if (mb.is_null()) {
		return;
	}
	if (mb->is_pressed() && mb->get_button_index() == MouseButton::MIDDLE) {
		filter_quick_menu->clear();
		_append_filter_options_to(filter_quick_menu, false);
		filter_quick_menu->set_position(get_screen_position() + get_local_mouse_position());
		filter_quick_menu->reset_size();
		filter_quick_menu->popup();
		filter_quick_menu->grab_focus();
		accept_event();
	}
}
void SceneTreeDock::_filter_option_selected(int p_option) {