### 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.
List<ObjectID> to_erase;
	for (const KeyValue<ObjectID, uint64_t> &E : physics_2d_mouseover) {
		if (!p_clean_all_frames && E.value == p_frame_reference) {
			continue;
		}
		Object *o = ObjectDB::get_instance(E.key);
		if (o) {
			CollisionObject2D *co = Object::cast_to<CollisionObject2D>(o);
			if (co && co->is_inside_tree()) {
				if (p_clean_all_frames && p_paused_only && co->can_process()) {
					continue;
				}
				co->_mouse_exit();
			}
		}
		to_erase.push_back(E.key);
	}
	while (to_erase.size()) {
		physics_2d_mouseover.erase(to_erase.front()->get());
		to_erase.pop_front();
	}
	
	List<Pair<ObjectID, int>> shapes_to_erase;
	for (KeyValue<Pair<ObjectID, int>, uint64_t> &E : physics_2d_shape_mouseover) {
		if (!p_clean_all_frames && E.value == p_frame_reference) {
			continue;
		}
		Object *o = ObjectDB::get_instance(E.key.first);
		if (o) {
			CollisionObject2D *co = Object::cast_to<CollisionObject2D>(o);