^ Well, OK, you know what I meant.

Let's call it
integrated then (be it APU, IGP, onboard) for the sake of distinguishing it from discrete GPUs.
By the way, here's a listing I found for a Quadro 600 on eBay for not much:
https://www.ebay.com/itm/265360053439
It's in CO too, so maybe cheaper shipping (or pickup, if nearby?)
Granted these Quadro 600's aren't anything to write home about and considerably weaker than the HD5770. But it does have OpenCL, at least according to GPU-Z.