Gamma wasn't much for talking he tended to only be able to say short sentances at best. He hardly expected to be put back together let alone given a second chance at life. When he had his final battle with Beta everything felt like it was over. Gamma's short existance as a small tragic story in a sea of other stories came to its conclusion.
"New member? Requesting information..."
Gamma was expecting to be used as a servant once more. Unlike his first activation this felt more unexpected perhaps? Maybe, they had found his husk tried to repair him only to wake up now. It didn't seem as formal though there was an ego much like with Eggman.
"Gamma served Eggman, but made master registration delete."
Basically saying he deleted it rebelling against the person who created him. He wasn't sure if the bird would understand but Gamma tried since it seemed he was to work for this green bird next. And for some reason birdlike beings made Gamma feel more protective.
"Will protect you, want to protect you is that acceptable?"