You start the battle controlling the Guncannon, which is being piloted by Kai Shiden. Start off by defeating the nearby Attack Commander, then go after the second one on the map. Once you do this, a bunch of new fields will appear and you'll switch control to Amuro and the Gundam. Go around and capture these fields until the Gaw ship arrives.
If you remember from the previous battle, you can either keep fighting grunts on the ground to deplete the Gaw's health or you can take to the skies (R1) and trying attacking it up there. After the Gaw goes down, Char will show up in a Mobile Suit, so go and take him down as well. From here on out, things will start getting a little hairy.
Some Attack Commanders will show up, so go ahead and destroy those, then some Gaws will appear and start carpet bombing your areas. It is likely that these bombing attacks will capture your fields, so you will want to recapture them again. At the same time, you need to go around and take out all of the Attack Commanders that show up.
Doing this will make Char appear once again, so head to his position and knock him senseless. He will, of course, retreat, but he sics Garma and another Gaw near White Base's position. As you're trying to take this ship down, it will likely being moving towards White Base, so hurry and bring it to the ground. The battle will be over once you do this.
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| Garma Zabi can now be set as a partner |