### 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
if (p_node->get_owner() == p_base && p_node != p_root) {
		EditorUndoRedoManager *undo_redo = EditorUndoRedoManager::get_singleton();
		switch (p_mode) {
			case MODE_BIDI: {
				bool disable_unique = p_node->is_unique_name_in_owner() && p_root->get_node_or_null(UNIQUE_NODE_PREFIX + String(p_node->get_name())) != nullptr;
				if (disable_unique) {
					
					undo_redo->add_do_method(p_node, "set_unique_name_in_owner", false);
				}
				undo_redo->add_do_method(p_node, "set_owner", p_root);
				undo_redo->add_undo_method(p_node, "set_owner", p_base);
				if (disable_unique) {
					
					undo_redo->add_undo_method(p_node, "set_unique_name_in_owner", true);
				}
			} break;
			case MODE_DO: {
				undo_redo->add_do_method(p_node, "set_owner", p_root);
			} break;
			case MODE_UNDO: {
				undo_redo->add_undo_method(p_node, "set_owner", p_root);
			} break;
		}
	}
	for (int i = 0; i < p_node->get_child_count(); i++) {
		_node_replace_owner(p_base, p_node->get_child(i), p_root, p_mode);
	}
}
void SceneTreeDock::_load_request(const String &p_path) {