### 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
if (!obj) {
			continue;
		}
		Ref<Texture2D> icon = EditorNode::get_singleton()->get_object_icon(obj);
		if (menu->get_item_count() == 0) {
			menu->add_submenu_item(TTR("Sub-Resources"), "Sub-Resources");
		}
		menu_subresources->add_icon_item(icon, E.name.capitalize(), EDIT_SUBRESOURCE_BASE + subresources.size());
		menu_subresources->set_item_indent(-1, p_depth);
		subresources.push_back(obj->get_instance_id());
		_add_children_to_popup(obj, p_depth + 1);
	}
}
void SceneTreeDock::_tree_rmb(const Vector2 &p_menu_pos) {
	if (!EditorNode::get_singleton()->get_edited_scene()) {
		menu->clear();
		if (profile_allow_editing) {
			menu->add_icon_shortcut(get_theme_icon(SNAME("Add"), SNAME("EditorIcons")), ED_GET_SHORTCUT("scene_tree/add_child_node"), TOOL_NEW);
			menu->add_icon_shortcut(get_theme_icon(SNAME("Instance"), SNAME("EditorIcons")), ED_GET_SHORTCUT("scene_tree/instantiate_scene"), TOOL_INSTANTIATE);
		}
		menu->reset_size();
		menu->set_position(get_screen_position() + p_menu_pos);
		menu->popup();
		return;
	}
	List<Node *> selection = editor_selection->get_selected_node_list();
	List<Node *> full_selection = editor_selection->get_full_selected_node_list(); 
	if (selection.size() == 0) {
		return;
	}