Christy Mack -- First Public Outing Since Beating

Christy Mack says her recovery is going great ... and she's only a few surgeries away from fixing the damage done to her face -- allegedly by ex-boyfriend/MMA fighter War Machine.

Mack was outside an event for the Face Forward Foundation -- an advocacy group who support victims of domestic abuse -- when she gave us an update on her current condition.

As we previously reported ... War Machine pled NOT guilty to 32 charges -- including two counts of attempted murder.

Mack told police her ex came to her home Aug. 8th ... beat her friend Corey Thomas and then pummeled her --- breaking multiple bones all over her body and rupturing her liver.