### 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
return node_clipboard;
}
void SceneTreeDock::add_remote_tree_editor(Control *p_remote) {
	ERR_FAIL_COND(remote_tree != nullptr);
	add_child(p_remote);
	remote_tree = p_remote;
	remote_tree->hide();
	remote_tree->connect("open", callable_mp(this, &SceneTreeDock::_load_request));
}
void SceneTreeDock::show_remote_tree() {
	_remote_tree_selected();
}
void SceneTreeDock::hide_remote_tree() {
	_local_tree_selected();
}
void SceneTreeDock::show_tab_buttons() {
	button_hb->show();
}
void SceneTreeDock::hide_tab_buttons() {