### 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)

for (int i = inspector_plugin_count - 1; i >= 0; i--) {
		inspector_plugins[i]->parse_property(p_object, p_type, p_path, p_hint, p_hint_text, p_usage, p_wide);
		if (inspector_plugins[i]->added_editors.size()) {
			for (int j = 1; j < inspector_plugins[i]->added_editors.size(); j++) { 
				memdelete(inspector_plugins[i]->added_editors[j].property_editor);
			}
			EditorProperty *prop = Object::cast_to<EditorProperty>(inspector_plugins[i]->added_editors[0].property_editor);
			if (prop) {
				inspector_plugins[i]->added_editors.clear();
				return prop;
			} else {
				memdelete(inspector_plugins[i]->added_editors[0].property_editor);
				inspector_plugins[i]->added_editors.clear();
			}
		}
	}
	return nullptr;
}
void EditorInspector::add_inspector_plugin(const Ref<EditorInspectorPlugin> &p_plugin) {
	ERR_FAIL_COND(inspector_plugin_count == MAX_PLUGINS);
	for (int i = 0; i < inspector_plugin_count; i++) {
		if (inspector_plugins[i] == p_plugin) {
			return; 
		}
	}
	inspector_plugins[inspector_plugin_count++] = p_plugin;
}
void EditorInspector::remove_inspector_plugin(const Ref<EditorInspectorPlugin> &p_plugin) {