Removing Constraint Influence while Keeping Current Location / Rotation

So, I’m using Copy Rotation in an animation. After a certain point, I don’t want an object to use this constraint. So, I either want to hide or reduce the influence to 0.0.

But when I do that, the object just reverts back to its original position. How can I transfer influence or remove completely but have the object maint its current location/rotation/scale?

key in the visual rotation / location / scale at the frame you want to zero the constraint.

thanx my problem also solved was having trouble making my character pick and leave a cup on the table.

Thanks a lot. That helped!