### 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;
	if (camera_3d_override) {
		if (camera_3d_override.fov == p_fovy_degrees && camera_3d_override.z_near == p_z_near &&
				camera_3d_override.z_far == p_z_far && camera_3d_override.projection == Camera3DOverrideData::PROJECTION_PERSPECTIVE) {
			return;
		}
		camera_3d_override.fov = p_fovy_degrees;
		camera_3d_override.z_near = p_z_near;
		camera_3d_override.z_far = p_z_far;
		camera_3d_override.projection = Camera3DOverrideData::PROJECTION_PERSPECTIVE;
		RenderingServer::get_singleton()->camera_set_perspective(camera_3d_override.rid, camera_3d_override.fov, camera_3d_override.z_near, camera_3d_override.z_far);
	}
}
void Viewport::set_camera_3d_override_orthogonal(real_t p_size, real_t p_z_near, real_t p_z_far) {