### 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
for (Node *E : node_clipboard) {
		memdelete(E);
	}
	node_clipboard.clear();
	clipboard_resource_remap.clear();
}
void SceneTreeDock::_create_remap_for_node(Node *p_node, HashMap<Ref<Resource>, Ref<Resource>> &r_remap) {
	List<PropertyInfo> props;
	p_node->get_property_list(&props);
	Vector<SceneState::PackState> states_stack;
	bool states_stack_ready = false;
	for (const PropertyInfo &E : props) {
		if (!(E.usage & PROPERTY_USAGE_STORAGE)) {
			continue;
		}
		Variant v = p_node->get(E.name);
		if (v.is_ref_counted()) {
			Ref<Resource> res = v;
			if (res.is_valid()) {
				if (!states_stack_ready) {
					states_stack = PropertyUtils::get_node_states_stack(p_node);
					states_stack_ready = true;
				}
				bool is_valid_default = false;
				Variant orig = PropertyUtils::get_property_default_value(p_node, E.name, &is_valid_default, &states_stack);
				if (is_valid_default && !PropertyUtils::is_property_value_different(v, orig)) {
					continue;
				}