### 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
continue;
					}
					undo_redo->add_do_method(node, "set_unique_name_in_owner", false);
					undo_redo->add_undo_method(node, "set_unique_name_in_owner", true);
				}
				undo_redo->commit_action();
			}
		} break;
		case TOOL_CREATE_2D_SCENE:
		case TOOL_CREATE_3D_SCENE:
		case TOOL_CREATE_USER_INTERFACE:
		case TOOL_CREATE_FAVORITE: {
			Node *new_node = nullptr;
			if (TOOL_CREATE_FAVORITE == p_tool) {
				String name = selected_favorite_root.get_slicec(' ', 0);
				if (ScriptServer::is_global_class(name)) {
					Ref<Script> scr = ResourceLoader::load(ScriptServer::get_global_class_path(name), "Script");
					if (scr.is_valid()) {
						new_node = Object::cast_to<Node>(ClassDB::instantiate(scr->get_instance_base_type()));
						if (new_node) {
							new_node->set_script(scr);
							new_node->set_name(name);
						}
					}
				} else {
					new_node = Object::cast_to<Node>(ClassDB::instantiate(selected_favorite_root));
				}
				if (!new_node) {
					new_node = memnew(Node);
					ERR_PRINT("Creating root from favorite '" + selected_favorite_root + "' failed. Creating 'Node' instead.");