I tried to kill it before I went to the lhusu mines(forgot the city's name), and had no chance. But after I got back, it was a easy but long fight(the cuckatrice and its chicks didnt waste much but they still took A LOT of hits before going down, but it got easier and easier as I took out the chicks).

As for gambits: I just have the two im not controlling with cure: ally hp<60% and then attack: same as party leader. Get your HP up with the augment licenses, and make sure your defense is relatively high as well.