Hum... there's something sniffy about this posting.
Dogs have a habit of jumping up at moving props. I say a habit, but they normally only do it once. (Not sure if this constitutes shock-loading the engine.) So I doubt whether the dog will get a clearance to go airside unaccompanied, not without a conspicuity jacket anyway.
We had one at Doncaster called "Ruggy", but he was quite grown-up and stayed in his basket under the table and bothered no-one. However when I was at flight school in California, the Japanese instructor decided it was the "in thing" to get a baby doggy. I was in ground school with my instructor and the door opened and the mut was pushed through:"Got to leave him to go flying". The said runt proceeded to pee on the floor and make a nuisance of itself, so I picked it up and placed it firmly in the litter bin. Barbara Woodhouse would have been proud of me for providing the animal with a place where it felt safe. It was still there when its owner returned. He removed it silently and we never saw it again. Probably thought it was some quaint English tradition.