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This is where the OH and I have reached in discussion.
He loves the treats involved in a puzzle ball but gives up easily on difficult toys. He seems to know when it’s effort.
It’s only 3 weeks so far, so he’s barely settled. Hopefully we find out what mental stimulation (short of next door’s cat) gets him tired out.
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The best game/puzzle we've found with ours is basically variants of hide and seek in the flat. So, get him into a down stay on his bed then go out of the room and hide a number of treats/toys around the place before instructing him to go find. Can easily kill an hour, is sort of fun for both of you and helps build the bond with lots of rewards and 'good jobs', plus he uses his nose intensely which is meant to be tiring. When the weather is exceptionally bad an hour of this seems to be essentially equivalent to a walk.
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treats in boxes is always good for ours, he likes destroying boxes anyway, so double the fun for him.
Egg cartons (sometimes taped down to make it harder for him) with a few treats.
Or wrapping a towel / blanket and hiding treats in, then rolling it up, makes him fathom out how to unwrap to get a fishy biscuit.
Mental exercise over physical, the dumber your dog the easier it is.