I’m not sure how feasible this is, but could you have a hinge on the middle of the door that’s locked in place until something puts pressure on a point near the hinge? Then that pressure could be supplied by (something jutting out from?) the corner the door is meant to be bending around. It acts like a single solid door until it reaches full swing, and only then the annoying extra bit separates to fold around.
I’m not sure how feasible this is, but could you have a hinge on the middle of the door that’s locked in place until something puts pressure on a point near the hinge? Then that pressure could be supplied by (something jutting out from?) the corner the door is meant to be bending around. It acts like a single solid door until it reaches full swing, and only then the annoying extra bit separates to fold around.