I was turned away (around 7:15) at the municipal lot last night and had to street park. I assume it was full but I'm not certain. There was a guy standing at the entrance and motioned to go elsewhere. If you are arriving around 8 I would try the lot but expect to street park.
Additional advice: avoid Tilden Ave. Doubleparked Stop & Shop assholes jammed it up and I literally sat in the same spot for 15 minutes because no one would move.