### 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
undo_redo->add_do_method(AnimationPlayerEditor::get_singleton()->get_track_editor(), "set_root", node);
		}
		undo_redo->add_undo_method(new_parent, "remove_child", node);
		undo_redo->add_undo_method(node, "set_name", former_names[ni]);
		inc++;
	}
	
	for (int ni = 0; ni < p_nodes.size(); ni++) {
		Node *node = p_nodes[ni];
		List<Node *> owned;
		node->get_owned_by(node->get_owner(), &owned);
		Array owners;
		for (Node *E : owned) {
			owners.push_back(E);
		}
		int child_pos = node->get_index();
		undo_redo->add_undo_method(node->get_parent(), "add_child", node, true);
		undo_redo->add_undo_method(node->get_parent(), "move_child", node, child_pos);
		undo_redo->add_undo_method(this, "_set_owners", edited_scene, owners);
		if (AnimationPlayerEditor::get_singleton()->get_track_editor()->get_root() == node) {
			undo_redo->add_undo_method(AnimationPlayerEditor::get_singleton()->get_track_editor(), "set_root", node);
		}
		if (p_keep_global_xform) {
			if (Object::cast_to<Node2D>(node)) {
				undo_redo->add_undo_method(node, "set_transform", Object::cast_to<Node2D>(node)->get_transform());
			}
			if (Object::cast_to<Node3D>(node)) {
				undo_redo->add_undo_method(node, "set_transform", Object::cast_to<Node3D>(node)->get_transform());
			}
			if (Object::cast_to<Control>(node)) {