Jagermeister cap size?

So, as luck would have it I happened into one f those Jagermeister shot machines that holds the three bottles and serves it ice cold. Problem is, I’m not opposed to Jager but I’m not a big enough fan of it to keep three bottles on tap. I’d like to put something else in it, like Dr Mcgillicuddy’s or some other kind of Schnapps, but the cap inserts for the machine don’t fit any of the bottles I have on hand.

Does anyone know if Jagermeister uses a unique bottle cal size (smaller then most)? Does anyone know of anther brand that shares that same size cap (preferably with a clear bottle I could reuse)?

If anyone has a bottle of Jager and a well stocked bar, and would’t mind trying the cap on a few others, I’d appreciate it.

Thanks.