With the clutch cable removed, I think that Bodger's idea is the best place to start while adding Kommando's suggestion. At that point you can also apply additional force with a finger through the inspection cover hole. A slight rocking motion may get the party started, but beware of what is behind you as the cover may yield without warning and send you backwards and/or tumbling. I start with both methods stated above, if this is not producing results I go around the cover applying light blows with a small hard rubber mallet with intermediate application of rocking force using the shifter and inspection port; I don't, at this point, recommend using bare hands, the cover will be hot.
All this is much easier with the G/B on the bench, but in the majority of cases (no pun intended) the outer cover comes off and saves you hours of time and a basket full of what-ifs if you do this while the G/B is still in the cradle. If the outer cover is still giving you the finger fueled by frustration; you can apply force to the G/B level plug, and also on the shift lever pointing forward using block of wood placed against the cradle; go back and forth on these two points.
When you win the day be sure to clean the alignment dowels and the corresponding holes. A Dremel driven wire brush for the males, but wear full face protection a hat and suitable gloves. For the holes a .22 or .25 caliber bronze firearm bore brush works well. Before you do the final assembly be sure that the outer cover can be fit and removed by hand. Try to overcome your urge to use a gasket sealing product; a thin uniform coating with axle grease works just fine.
The force(s) you exert should be GENTLY applied and very slowly escalated. Too much force applied too quickly will break parts; if you have gotten to that dreadful milestone then blast a way. Under no circumstances pry between the sealing surfaces. If you feel frustration building and, maybe, get an adrenaline leak then "Better call Saul".
Best.