### 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
undo_redo->add_do_method(ed, "live_debug_create_node", edited_scene->get_path_to(p_parent), child->get_class(), new_name);
		undo_redo->add_undo_method(ed, "live_debug_remove_node", NodePath(String(edited_scene->get_path_to(p_parent)).path_join(new_name)));
	} else {
		undo_redo->add_do_method(EditorNode::get_singleton(), "set_edited_scene", child);
		undo_redo->add_do_method(scene_tree, "update_tree");
		undo_redo->add_do_reference(child);
		undo_redo->add_undo_method(EditorNode::get_singleton(), "set_edited_scene", (Object *)nullptr);
	}
	undo_redo->commit_action();
	_push_item(c);
	editor_selection->clear();
	editor_selection->add_node(child);
	if (Object::cast_to<Control>(c)) {
		
		Control *ct = Object::cast_to<Control>(c);
		Size2 ms = ct->get_minimum_size();
		if (ms.width < 4) {
			ms.width = 40;
		}
		if (ms.height < 4) {
			ms.height = 40;
		}
		if (ct->is_layout_rtl()) {
			ct->set_position(ct->get_position() - Vector2(ms.x, 0));
		}
		ct->set_size(ms);
	}
	emit_signal(SNAME("node_created"), c);
}
void SceneTreeDock::_create() {