L Shaped Wardrobes / Overlay Doors Problem

Hi guys,

My carpenter has rode off into the sunset on his trusty steed (yee ha!) so I'm going to try and finish off the work that he was supposed to have done.

He started building some L shaped wardrobe type furniture in our basement and I'm going to have a go at finishing the doors myself.

He has made doors for the right hand side of the wardrobe (see picture 2) but he hasn't made doors for the left hand side.

The ones on the right have been made using overlay blum hinges. But thinking about it I think this will cause a problem if I do the same for the doors on the left hand side as neither will be able to open properly.

What should I do in this scenario please? Do I build the frame out so that there is a gap between the corners of both doors?

Thanks very much in advance

Ryan