### 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
NodePath path = root->get_path().rel_path_to(node->get_path());
					DisplayServer::get_singleton()->clipboard_set(path);
				}
			}
		} break;
		case TOOL_OPEN_DOCUMENTATION: {
			List<Node *> selection = editor_selection->get_selected_node_list();
			for (int i = 0; i < selection.size(); i++) {
				ScriptEditor::get_singleton()->goto_help("class_name:" + selection[i]->get_class());
			}
			EditorNode::get_singleton()->set_visible_editor(EditorNode::EDITOR_SCRIPT);
		} break;
		case TOOL_AUTO_EXPAND: {
			scene_tree->set_auto_expand_selected(!EDITOR_GET("docks/scene_tree/auto_expand_to_selected"), true);
		} break;
		case TOOL_SCENE_EDITABLE_CHILDREN: {
			if (!profile_allow_editing) {
				break;
			}
			List<Node *> selection = editor_selection->get_selected_node_list();
			List<Node *>::Element *e = selection.front();
			if (e) {
				Node *node = e->get();
				if (node) {
					bool editable = EditorNode::get_singleton()->get_edited_scene()->is_editable_instance(node);
					if (editable) {
						editable_instance_remove_dialog->set_text(TTR("Disabling \"editable_instance\" will cause all properties of the node to be reverted to their default."));
						editable_instance_remove_dialog->popup_centered();
						break;
					}