While you are investigating the Electrical Issues... bear in mind that the Lift Gate Glass Rear Window can also suffer from Mechanical Failures within its sub-hinges. This is an excellent "How To" for dealing with this problem:
The same can be said for the Lift Gate Latch... and so from the same clever, intrepid VOP (Video Original Poster) is yet another "How To" for dealing with THIS Problem:
As for having a possibly FUBAR'd LGM, pull the actual GM - ACDelco Part Number off of the one in-dwelling and then search over on eBay for a few Used Ones. I picked up mine
(Thankfully, a Failed Unit as described-documented in the LGM Links and Images above) for around $15.00 per item quite a few years back while trying to Dope out a Bench Top Harness. As long as the P/Ns match... the Used One
should work without the need for a Tech 2 Scan Tool to re-program the Module onto the Class 2 Network. Check yours against THESE available over on eBay:
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As a solution once suggested to us by
@TJBaker57... You would also be well advised to raise the Passenger Seat on the Driver's Side of the SUV and after removing the BCM Plastic Cover, examine the Gold-Green Flex Harness interface for an invasion of Spilled Soda and Odd Debris... and then Spray it out well using CRC Electrical Contact Solvent available from Amazon and AutoZone for not too much bread.
You can familiarize yourself with the appearance of the GMT360's Green BCM Cable & Harness Connectors via THIS Link:
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By The Way... Will Robinson's Classic Lost Network Communications Diagnostics Video is worth going over, too. Download, Save and STUDY what he does here to Isolate and Identify ANY Class 2 Network Module that can Fail and Bring Down The Entire Network on GMT360 Vehicles: