South Dakota Republican Gov. Kristi Noem has “no shot” at being Donald Trump’s running mate after revealing in a forthcoming book that she shot and killed her puppy‚ sources close to the 45th president tell The Post. One ally of the presumptive Republican nominee said Trump’s team was “bewildered” to hear of Noem’s account in her tome “No Going Back: The Truth on What’s Wrong with Politics and How We Move America Forward.” “She was already unlikely to be picked as VP‚ but had a shot‚” the...