I know it's way cute but don't call your dog 'dog', because if you do then any one will be able to call & command him by his name.
How often have you seen a dog hanging about and called it, saying 'come here, dog.'
I would just make it very easy for someone to steal, or for someone to assume it is a stray because it comes to them so easily.
You could name him after a poi move.
Buzzsaw would be cute.
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Eat when you're hungry
Sleep where it's dry
No one is ever what they seem
Gabriel King - The Wild Road