That is an unusual configuration. Contact local custom cabinet makers to see if they can manufacture something that suits your specifications.

A picture of the actual situation would help immensely.

But, taking a shot in the dark, perhaps Johnson 1601 Full Access bifold door hardware would work.

Johnson full access bifold door hardware

Thanks, millworkman! I learned a new trick.

Just did a search and found some Pinterest posts with this intriguing caption: "narrow french doors (actually sidelights mulled together (MUCH cheaper than custom doors!" Perhaps an option?

ETA: Weird. The three most recent comments (3 hours old) weren't there when I read this post and commented.

Thanks so much everyone! Will check out my local lumber yard! I didn’t realize they did doors! :)