### Godot version

Godot 4-beta10

### System information

Linux, KDE Neon, OpenGL3, Mesa Intel(R) UHD Graphics (CML GT2)

### Issue description

I can't move to Animation player when I open a AnimatedSprite

See the video:
https://youtu.be/_nyN42rNlTw


### Steps to reproduce

- Open Scene GPlayer
- Select Idle (Animation player) node
- Select Body (Animation sprite) node
- Select animation in bottom tab

### Minimal reproduction project

You can test in my game is open source and don't have many files 👍🏻 

[the-zero-day.zip](https://github.com/godotengine/godot/files/10304677/the-zero-day.zip)

NodePath p;
	if (pointer_mode) {
		p = get_edited_object()->get(_get_meta_pointer_property());
	} else {
		p = get_edited_object()->get(get_edited_property());
	}
	assign->set_tooltip_text(p);
	if (p == NodePath()) {
		assign->set_icon(Ref<Texture2D>());
		assign->set_text(TTR("Assign..."));
		assign->set_flat(false);
		return;
	}
	assign->set_flat(true);
	Node *base_node = nullptr;
	if (base_hint != NodePath()) {
		if (get_tree()->get_root()->has_node(base_hint)) {
			base_node = get_tree()->get_root()->get_node(base_hint);
		}
	} else {
		base_node = Object::cast_to<Node>(get_edited_object());
	}
	if (!base_node || !base_node->has_node(p)) {