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. *** “She was already unlikely to be picked as VP, but had a shot,” the person said of Noem, who has been widely projected to be on Trump’s shortlist. “After this, it’s just impossible.” Noem writes, according to the Guardian, that she executed Cricket, a 14-month-old wirehaired pointer, after determining that the pooch’s “aggressive personality” made her “untrainable” as a hunting dog. “It was not a...