### 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
} break;
		case TOOL_CUT:
		case TOOL_COPY: {
			if (!edited_scene || (p_tool == TOOL_CUT && !_validate_no_foreign())) {
				break;
			}
			List<Node *> selection = editor_selection->get_selected_node_list();
			if (selection.size() == 0) {
				break;
			}
			bool was_empty = false;
			if (!node_clipboard.is_empty()) {
				_clear_clipboard();
			} else {
				was_empty = true;
			}
			clipboard_source_scene = EditorNode::get_singleton()->get_edited_scene()->get_scene_file_path();
			selection.sort_custom<Node::Comparator>();
			for (Node *node : selection) {
				HashMap<const Node *, Node *> duplimap;
				Node *dup = node->duplicate_from_editor(duplimap);
				ERR_CONTINUE(!dup);
				
				List<Node *> owned;
				node->get_owned_by(node->get_owner(), &owned);
				for (Node *F : owned) {
					if (!duplimap.has(F) || F == node) {
						continue;
					}
					Node *d = duplimap[F];