An anti-Donald Trump website fell for a statement from the former president that appeared to decry the death of internet-famous squirrel Peanut — only for those close to the Republican nominee to confirm that the fiery post was actually fake.The liberal news site Mediaite published a since-deleted article Saturday based on the bizarre bogus press release that appeared to be from Trump’s campaign that was first posted on X by Gentry Genvers.“It’s a fake statement,” Karoline Leavitt, from Trump’s team, told The Post Saturday afternoon.“He didn’t actually say that,” Leavitt clarified of said statement, which described Peanut — who was euthanized after being seized from his owners this week — as “innocent on all accounts” and compared the creature to a migrant.“Mediaite is fake news,” Leavitt scoffed.Mediaite did not immediately respond to The Post’s request for comment on the misprint.The original X post from Gevers was shared as a response to Elon Musk, who wrote that, as president, Trump “will save the squirrels.”In the faux comment, Trump seemingly lamented that Peanut and Fred the Raccoon were taken from their owner, Mark Longo, and “executed by the State of New York” thanks to “their terrible governor,” Democrat Kathy Hochul.“If Peanut could have told them he was from Mexico, they would have sent him on his way and given him a hotel room and $500 gift card to Buddy Squirrel,” the rant added.Trump, 78, is known for his hardline stance against illegal immigration – and has repeatedly publicly blamed the influx of new arrivals for violent crime in the US....