Searching out a "cloned" recipe (I highly doubt you will find one, most juicemakers don't give that information out, for obvious reasons, any clone you may find is likely going to be someone else's "best stab" at that juice, and it may or may not taste similar to you) is not always the best way to START DIY.
I'd suggest (since it appears to at least offer the fact that it's made from several mints) gathering some tester sized various mints (perhaps even a menthol, but not necessarily). Make tester bottles, but also see if you can figure out what else is making it work. Does it have some sweetness, or none at all? If it does, you may need a sweeter to experiment with. If it's buttery at all, maybe something like Purlilum's butter mint might be a good addition. If there is a hint of cream or anything else, you could look at some sweet cream, or some vanilla/cream type flavors, too.
I'd suggest small tester mixes based on what you think you can "taste" from the juice, and not really search for a 1:1 clone, but create some mint concoctions of your own, to see where you land. You may find yourself winding up with many mints you enjoy, not just one.
Cloning's hard even with DIY.
Best of luck and welcome to DIY, and I hope you meet with success.
Anba