I am not sure what you mean by "telescope hanging" - I assume you mean pier side i.e., pier side east or west
If so, the target has to be reachable on both sides of pier.?
After startup, you can try slewing the mount so it's slightly pier side east (telescope on eastern side, I think your preferred starting point) and then do your goto routine.?
The Gemini prefers to stay on same side of pier, so after you startup and sidereal is engaged, the telescope has already moved a little bit to pier side west
With my backyard view it's best if I can have the scope hang to the east to start the night. I use kstars/ekos/indi connected to skysafari to select and slew to a target. It usually seems to end up with the scope hanging west. I usually have to use the manual control in skysafari to position it close to the target, and then slew to it. I'm assuming that scope position is determined by my GeminiII system on the GM811G (couple years old). Is there a setting to prefer positioning the scope to the east??