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I looked at the break down I dont see any actual sensors for the lint screen so I looked in the owners manual it is just a reminder it should start if You hit the start button>
took this from Your owners manual>
Hope this helps, if not I would not attempted to repair this You may void the warranty doing so.
These usualy require the door to be opened which I am sure you have done, but it appears to just be a reminder nothing more I dont see an airflow switch in the break down that can only mean there is a problem with the electronic control so, I realy hate to be the one to say it but, You will want to call the store where You bought it or GE for repair once again I highly recommend against any DIY on a new unit You will void the warranty and any chance of the store where You bought it from replacing the dryer if need be.
Wish I could help You more.