Hayden Panettiere appeared emotional and at times struggled with her speech during what would become her final public appearance — just months before her heartbreaking death at 36. “Her speech appeared slow and slurred at times during the book signing,” a source who attended the “Nashville” alum’s event at the Harmony Gold Theater on May 26 in Los Angeles exclusively told Page Six. The insider added that a heartbroken Panettiere became visibly emotional while discussing some of the painful experiences she chronicled in her memoir, “This Is Me: A Reckoning.” The source also recalled organizers repeatedly reminding attendees not to record…









