### 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 (ScriptServer::get_language_count() == 0) {
		EditorNode::get_singleton()->show_warning(TTR("Cannot attach a script: there are no languages registered.\nThis is probably because this editor was built with all language modules disabled."));
		return;
	}
	if (!profile_allow_script_editing) {
		return;
	}
	List<Node *> selection = editor_selection->get_selected_node_list();
	if (selection.is_empty()) {
		return;
	}
	Node *selected = scene_tree->get_selected();
	if (!selected) {
		selected = selection.front()->get();
	}
	Ref<Script> existing = selected->get_script();
	String path = selected->get_scene_file_path();
	if (path.is_empty()) {
		String root_path = editor_data->get_edited_scene_root()->get_scene_file_path();
		if (root_path.is_empty()) {
			path = String("res://").path_join(selected->get_name());
		} else {
			path = root_path.get_base_dir().path_join(selected->get_name());
		}
	}
	String inherits = selected->get_class();