A shovel would be the cheapest. Or rent a small excavator from a tool/equipment rental place. Use it to dig a trench around the spot. Make one trench side wider that the spot. Try to remove extra dirt around the dog. To keep it whole use plaster bandages to cover the area. From the wider dug side get something under the block. Take out the block then cover the bottom with more plaster bandages.
Don't dig untill under ground pipes and wires are marked.
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