Also, you are aware that since it’s currently unlocked you can remove this lock without damaging anything? And that a replacement lock won’t differ in any way? They are all standard sizes, shapes, and mounting, and all look the same.
The only place you’ll even see a brand name for the lock is on the key (maybe) and possibly on the baggie it comes in.
Your local hardware store will even carry this type of lock and you could take the existing one with you to ensure you get one that has a bezel that looks the same.
I guess I am just really curious what is so important about that one specific lock with no keys, and what the downside is that you see in replacing it with a new one that comes with two keys? I think everybody is, actually..