Let's say that the Z axis is vertical for the sake of discussion. I would make two remote displacements.
Pick the cylindrical face of the top hinge pin and set the X and Y displacement of the remote point to zero.
Pick the cylindrical face of the bottom hinge pin and set the X, Y and Z displacement and the Z rotation to be zero.
Those six constraints make the door fixed, now you can apply the force on the corner.
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