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Use Remote Displacement, behavior = Rigid at the Fore end and another one at the Aft end.
On the Aft end, promote to a Remote Point so you can use that to apply the Moment load.
Use a Remote Displacement at the intersection of centerline and bottom to set X=0 leaving the others Free, though I don't see why you wouldn't simply add X=0 to the Fore end Remote Displacement instead of leaving that free and making this separate Remote Displacement.
Ignore the warning about rigid body motion. These three Remote Displacements provide the correct six constraints to prevent rigid body motion.