### 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->set_item_as_separator(-1, true);
		for (const Pair<Ref<Resource>, Node *> &pair : kv.value) {
			String display_text;
			if (pair.first->get_name().is_empty()) {
				display_text = vformat(TTR("<Unnamed> at %s"), pair.second->get_name());
			} else {
				display_text = pair.first->get_name();
			}
			if (unique_resources[pair.first] > 1) {
				display_text += " " + vformat(TTR("(used %d times)"), unique_resources[pair.first]);
			}
			p_menu->add_item(display_text);
			p_menu->set_item_metadata(-1, pair.first->get_instance_id());
		}
	}
	if (resources_by_type.is_empty()) {
		p_menu->add_item(TTR("None"));
		p_menu->set_item_disabled(-1, true);
	}
	p_menu->reset_size();
}
void SceneTreeDock::_gather_resources(Node *p_node, List<Pair<Ref<Resource>, Node *>> &r_resources) {
	if (p_node != edited_scene && p_node->get_owner() != edited_scene) {
		return;
	}
	List<PropertyInfo> pinfo;
	p_node->get_property_list(&pinfo);
	for (const PropertyInfo &E : pinfo) {
		if (!(E.usage & PROPERTY_USAGE_EDITOR)) {
			continue;