Help identify a rogue wire / cable
 

2011 suburban 1500;4x4 LT.

I was replacing my transmission mount and noticed a tube shaped cable that was loose, just above the T case. I thought it was a vent tube cable type but I can't find any outlets/inlets nearby.

Does anyone know what this is? I traced it to the top of the transmission. The tube cable is full of grease and the immediate area also has grease nearby, not much.

Pictures attached, first picture it's the top right corner, second/bottom cable. Picture was taken from the driver side.


Thanks in advance

https://cimg6.ibsrv.net/gimg/chevrol...aa40e5c749.jpg
Top right corner, the bottom cable is what I'm referring to
https://cimg7.ibsrv.net/gimg/chevrol...3153a23ac0.jpg