### 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_READ_THREAD_GUARD_V(false);
	return own_world_3d.is_valid();
}
void Viewport::_propagate_enter_world_3d(Node *p_node) {
	if (p_node != this) {
		if (!p_node->is_inside_tree()) { 
			return;
		}
		if (Object::cast_to<Node3D>(p_node) || Object::cast_to<WorldEnvironment>(p_node)) {
			p_node->notification(Node3D::NOTIFICATION_ENTER_WORLD);
		} else {
			Viewport *v = Object::cast_to<Viewport>(p_node);
			if (v) {
				if (v->world_3d.is_valid() || v->own_world_3d.is_valid()) {
					return;
				}
			}
		}
	}
	for (int i = 0; i < p_node->get_child_count(); i++) {
		_propagate_enter_world_3d(p_node->get_child(i));
	}
}
void Viewport::_propagate_exit_world_3d(Node *p_node) {