### 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
p_menu->clear();
	List<Pair<Ref<Resource>, Node *>> all_resources;
	if (edited_scene) {
		_gather_resources(edited_scene, all_resources);
	}
	HashMap<String, List<Pair<Ref<Resource>, Node *>>> resources_by_type;
	HashMap<Ref<Resource>, int> unique_resources;
	for (const Pair<Ref<Resource>, Node *> &pair : all_resources) {
		if (!unique_resources.has(pair.first)) {
			resources_by_type[pair.first->get_class()].push_back(pair);
		}
		unique_resources[pair.first]++;
	}
	for (KeyValue<String, List<Pair<Ref<Resource>, Node *>>> kv : resources_by_type) {
		p_menu->add_icon_item(EditorNode::get_singleton()->get_class_icon(kv.key), kv.key);