New York is going to the dogs — and nobody knows that like Tamara, an NYC med spa owner who is sick and tired of watching the Big Apple’s descent into canine-driven chaos. Day after day, the pampering proprietress told The Post, she’s forced into confrontations with her privileged clientele who drag their furry friends into her pristine wellness sanctuary, leaving grubby paw prints — or worse – all over floors and furniture. Tamara, who asked that her last name not be used to avoid any ire from