### 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
dup->set_scene_file_path(String()); 
			ur->add_do_method(EditorNode::get_singleton(), "set_edited_scene", dup);
		} else {
			ur->add_do_method(paste_parent, "add_child", dup, true);
		}
		for (KeyValue<const Node *, Node *> &E2 : duplimap) {
			Node *d = E2.value;
			
			if (d != dup && E2.key->get_owner() == node) {
				ur->add_do_method(d, "set_owner", owner);
			}
		}
		if (dup != owner) {
			ur->add_do_method(dup, "set_owner", owner);
		}
		ur->add_do_method(editor_selection, "add_node", dup);
		if (dup == paste_parent) {
			ur->add_undo_method(EditorNode::get_singleton(), "set_edited_scene", (Object *)nullptr);
		} else {
			ur->add_undo_method(paste_parent, "remove_child", dup);
		}
		ur->add_do_reference(dup);
		if (node_clipboard.size() == 1) {
			ur->add_do_method(EditorNode::get_singleton(), "push_item", dup);
		}
	}
	ur->commit_action();
	return pasted_nodes;
}
List<Node *> SceneTreeDock::get_node_clipboard() const {