I think it's the Mastiff in Ty that mellows him out. The Boxer in him wants to bounce. The Mastiff in him wants to saunter. The Boxer in him wants to play tag. The Mastiff in him wants to lean up against you and get ear scratches.
The best way to check on the adoption status of this dog (and other dogs and cats and other small domestic animals) is to visit Toronto Animal Services adoption website or call 416 338 6668 for the Toronto Animal Services South shelter. If the dog is no longer on the TAS adoption website, it's probably because it's been adopted already.