GAN? what's that, geeks and nerds?
Auto Gen is an inbuilt pattern generator, activated by disconnecting Control board from Main, shorting out the test holes at R51/R52 on the control board, then switching the tv on. If PSU and scan circuits are working, patterns are generated on the screen. Conclusion - main board is faulty.
And you haven't got a faulty lamp in the screen - it's a plasma tv - they don't have lamps.
Bruce