### 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_depth > 8) {
		return;
	}
	List<PropertyInfo> pinfo;
	p_obj->get_property_list(&pinfo);
	for (const PropertyInfo &E : pinfo) {
		if (!(E.usage & PROPERTY_USAGE_EDITOR)) {
			continue;
		}
		if (E.hint != PROPERTY_HINT_RESOURCE_TYPE) {
			continue;
		}
		Variant value = p_obj->get(E.name);
		if (value.get_type() != Variant::OBJECT) {
			continue;
		}
		Object *obj = value;