### Godot version

4.0.3-stable

### System information

Windows 10

### Issue description

In some projects ViewportTexture remains pink and doesn't render viewport content after upgrading from 4.0.2-stable to 4.0.3-stable. If a pair of files viewport.h/viewport.cpp are downgraded back to what they were in 4.0.2-stable, problem goes away.

This is how it looks in 4.0.3-stable:
![4 0 3_stable_viewport_4 0 3](https://github.com/godotengine/godot/assets/1449921/44c191a9-4b67-4b02-90b6-4ab615f62a73)

And this is how it looks if viewport.h/viewport.cpp are downgraded back to what they were in 4.0.2-stable.
![4 0 3_stable_viewport_4 0 2](https://github.com/godotengine/godot/assets/1449921/f5abc605-f129-4222-9c0e-e9a07621dd9d)



### Steps to reproduce

Unfortunately, I cannot come up wit a simple demo project reproducing the problem. It exists in some projects and doesn't exist in others.


### Minimal reproduction project

Cannot produce a simple project reproducing the problem. In simple projects it works fine.
ERR_MAIN_THREAD_GUARD;
	bool request_update = gui.canvas_parents_with_dirty_order.is_empty();
	gui.canvas_parents_with_dirty_order.insert(p_node->get_instance_id());
	if (request_update) {
		MessageQueue::get_singleton()->push_callable(callable_mp(this, &Viewport::_process_dirty_canvas_parent_orders));
	}
}
void Viewport::_update_audio_listener_2d() {
	if (AudioServer::get_singleton()) {
		AudioServer::get_singleton()->notify_listener_changed();
	}
}
void Viewport::set_as_audio_listener_2d(bool p_enable) {
	ERR_MAIN_THREAD_GUARD;
	if (p_enable == is_audio_listener_2d_enabled) {
		return;
	}
	is_audio_listener_2d_enabled = p_enable;
	_update_audio_listener_2d();
}
bool Viewport::is_audio_listener_2d() const {
	ERR_READ_THREAD_GUARD_V(false);
	return is_audio_listener_2d_enabled;
}
AudioListener2D *Viewport::get_audio_listener_2d() const {
	ERR_READ_THREAD_GUARD_V(nullptr);
	return audio_listener_2d;
}
void Viewport::enable_canvas_transform_override(bool p_enable) {