### 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 (const KeyValue<Node *, Object *> &E : editor_selection->get_selection()) {
				mne->add_node(root->get_path_to(E.key));
			}
			_push_item(mne.ptr());
		} break;
		case TOOL_ERASE: {
			if (!profile_allow_editing) {
				break;
			}
			List<Node *> remove_list = editor_selection->get_selected_node_list();
			if (remove_list.is_empty()) {
				return;
			}
			if (!_validate_no_foreign()) {
				break;
			}
			bool allow_ask_delete_tracks = EDITOR_GET("docks/scene_tree/ask_before_deleting_related_animation_tracks").operator bool();
			bool has_tracks_to_delete = allow_ask_delete_tracks && _has_tracks_to_delete(edited_scene, remove_list);
			if (p_confirm_override && !has_tracks_to_delete) {
				_delete_confirm();
			} else {
				String msg;
				if (remove_list.size() > 1) {
					bool any_children = false;
					for (int i = 0; !any_children && i < remove_list.size(); i++) {
						any_children = remove_list[i]->get_child_count() > 0;
					}
					msg = vformat(any_children ? TTR("Delete %d nodes and any children?") : TTR("Delete %d nodes?"), remove_list.size());
				} else {
					if (!p_confirm_override) {