### 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.
camera_3d_set.insert(p_camera);
	return camera_3d_set.size() == 1;
}
void Viewport::_camera_3d_remove(Camera3D *p_camera) {
	camera_3d_set.erase(p_camera);
	if (camera_3d == p_camera) {
		camera_3d->notification(Camera3D::NOTIFICATION_LOST_CURRENT);
		camera_3d = nullptr;
	}
}
void Viewport::_camera_3d_make_next_current(Camera3D *p_exclude) {
	for (Camera3D *E : camera_3d_set) {
		if (p_exclude == E) {
			continue;
		}
		if (!E->is_inside_tree()) {
			continue;
		}
		if (camera_3d != nullptr) {
			return;
		}
		E->make_current();
	}
}
void Viewport::enable_camera_3d_override(bool p_enable) {