### 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)

deletable_properties = p_enabled;
}
void EditorInspector::_page_change_request(int p_new_page, const StringName &p_array_prefix) {
	int prev_page = per_array_page.has(p_array_prefix) ? per_array_page[p_array_prefix] : 0;
	int new_page = MAX(0, p_new_page);
	if (new_page != prev_page) {
		per_array_page[p_array_prefix] = new_page;
		update_tree_pending = true;
	}
}
void EditorInspector::_edit_request_change(Object *p_object, const String &p_property) {
	if (object != p_object) { 
		return;
	}
	if (changing) {
		return;
	}
	if (p_property.is_empty()) {
		update_tree_pending = true;
	} else {
		pending.insert(p_property);
	}
}
void EditorInspector::_edit_set(const String &p_name, const Variant &p_value, bool p_refresh_all, const String &p_changed_field) {