### 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)

Ref<Resource> res = get_edited_object()->get(get_edited_property());
	if (use_sub_inspector) {
		if (res.is_valid() != resource_picker->is_toggle_mode()) {
			resource_picker->set_toggle_mode(res.is_valid());
		}
		if (res.is_valid() && get_edited_object()->editor_is_section_unfolded(get_edited_property())) {
			if (!sub_inspector) {
				sub_inspector = memnew(EditorInspector);
				sub_inspector->set_vertical_scroll_mode(ScrollContainer::SCROLL_MODE_DISABLED);
				sub_inspector->set_use_doc_hints(true);
				sub_inspector->set_sub_inspector(true);
				sub_inspector->set_property_name_style(InspectorDock::get_singleton()->get_property_name_style());
				sub_inspector->connect("property_keyed", callable_mp(this, &EditorPropertyResource::_sub_inspector_property_keyed));
				sub_inspector->connect("resource_selected", callable_mp(this, &EditorPropertyResource::_sub_inspector_resource_selected));
				sub_inspector->connect("object_id_selected", callable_mp(this, &EditorPropertyResource::_sub_inspector_object_id_selected));
				sub_inspector->set_keying(is_keying());
				sub_inspector->set_read_only(is_read_only());
				sub_inspector->set_use_folding(is_using_folding());
				sub_inspector_vbox = memnew(VBoxContainer);
				add_child(sub_inspector_vbox);
				set_bottom_editor(sub_inspector_vbox);
				sub_inspector_vbox->add_child(sub_inspector);
				resource_picker->set_toggle_pressed(true);
				bool use_editor = false;
				for (int i = 0; i < EditorNode::get_editor_data().get_editor_plugin_count(); i++) {
					EditorPlugin *ep = EditorNode::get_editor_data().get_editor_plugin(i);
					if (ep->handles(res.ptr())) {
						use_editor = true;
					}
				}