Democratic Sen. Bob Menendez on Thursday confirmed he won’t run in the Democratic primary in June, but he continued to leave open the possibility of running for reelection as an “independent Democrat,” the AP reports. “The present accusations I am facing, of which I am innocent and will prove so, will not allow me to have that type of dialogue and debate with political opponents,” he said in a video posted on social media. “You deserve to hear from those who wish to represent you about what they would do for you and your families in the future. Therefore I will not file for the Democratic part…