### 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
}
					StringName name = node->get_name();
					if (new_unique_names.find(name) != -1 || get_tree()->get_edited_scene_root()->get_node_or_null(UNIQUE_NODE_PREFIX + String(name)) != nullptr) {
						cant_be_set_unique_names.push_back(name);
					} else {
						new_unique_nodes.push_back(node);
						new_unique_names.push_back(name);
					}
				}
				if (new_unique_nodes.size()) {
					undo_redo->create_action(TTR("Enable Scene Unique Name(s)"));
					for (Node *node : new_unique_nodes) {
						undo_redo->add_do_method(node, "set_unique_name_in_owner", true);
						undo_redo->add_undo_method(node, "set_unique_name_in_owner", false);
					}
					undo_redo->commit_action();
				}
				if (cant_be_set_unique_names.size()) {
					String popup_text = TTR("Unique names already used by another node in the scene:");
					popup_text += "\n";
					for (StringName name : cant_be_set_unique_names) {
						popup_text += "\n" + String(name);
					}
					accept->set_text(popup_text);
					accept->popup_centered();
				}
			} else { 
				undo_redo->create_action(TTR("Disable Scene Unique Name(s)"));
				for (Node *node : full_selection) {
					if (!node->is_unique_name_in_owner()) {