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You would not be able to obtain the fissile material necessary to build a working model of a nuclear power plant. You could build a model, for sure, but it would not be a working model.
as it still has energy in it.
Seems unlikely. Any power plant is useful only if it can deliver power to where it is required. Also you need a good source of water for cooling. The one clear advantage, however, is that it would be far from populated areas, and hence far less dangerous to people.
the village probably cannot afford a desalination plant
It is estimated a new nuclear plant built today in the US would cost $10-12 billion for a 1500-1600 MW plant. Then once you have the plant built, one load of fuel bundles would cost approx. $150 to $200 million.