### 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
for (int i = 0; i < instances.size(); i++) {
		memdelete(instances[i]);
	}
	return result;
}
void SceneTreeDock::_tool_selected(int p_tool, bool p_confirm_override) {
	current_option = p_tool;
	switch (p_tool) {
#ifdef MODULE_REGEX_ENABLED
		case TOOL_BATCH_RENAME: {
			if (!profile_allow_editing) {
				break;
			}
			if (editor_selection->get_selected_node_list().size() > 1) {
				rename_dialog->popup_centered();
			}
		} break;
#endif 
		case TOOL_RENAME: {
			if (!profile_allow_editing) {
				break;
			}
			Tree *tree = scene_tree->get_scene_tree();
			if (tree->is_anything_selected()) {
				tree->grab_focus();
				tree->edit_selected();
			}
		} break;
		case TOOL_REPARENT_TO_NEW_NODE:
			if (!_validate_no_foreign()) {