### 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
add_below_node = dup;
			}
			undo_redo->commit_action();
			if (dupsingle) {
				_push_item(dupsingle);
			}
		} break;
		case TOOL_REPARENT: {
			if (!profile_allow_editing) {
				break;
			}
			if (!scene_tree->get_selected()) {
				break;
			}
			if (editor_selection->is_selected(edited_scene)) {
				current_option = -1;
				accept->set_text(TTR("This operation can't be done on the tree root."));
				accept->popup_centered();
				break;
			}
			if (!_validate_no_foreign()) {
				break;
			}
			List<Node *> nodes = editor_selection->get_selected_node_list();
			HashSet<Node *> nodeset;
			for (Node *E : nodes) {
				nodeset.insert(E);
			}
			reparent_dialog->set_current(nodeset);
			reparent_dialog->popup_centered_clamped(Size2(350, 700) * EDSCALE);