### 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
AnimationPlayer *ap = Object::cast_to<AnimationPlayer>(p_node);
	if (ap) {
		Node *root = ap->get_node(ap->get_root());
		if (root && !p_to_delete.find(root)) {
			List<StringName> anims;
			ap->get_animation_list(&anims);
			for (const StringName &E : anims) {
				Ref<Animation> anim = ap->get_animation(E);
				if (anim.is_null()) {
					continue;
				}
				for (int i = 0; i < anim->get_track_count(); i++) {
					NodePath track_np = anim->track_get_path(i);
					Node *n = root->get_node_or_null(track_np);
					if (n) {
						for (const Node *F : p_to_delete) {
							if (F == n || F->is_ancestor_of(n)) {
								return true;
							}
						}
					}
				}