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Press the leftmost control (the one that looks like a cube) until you get to the full editor, and then press the "Mirror (M)" button.

2L S2 U2' 2L' U2' 2L U2' 2R' U2' 2R B2' 2L' F2' 2R' z2

It is kind of wild that this algo solves it, but not in the same orientation as when you started. I haven't yet experienced such a thing.

Just out of curiosity, does trying to solve it in the starting orientation require more moves?

I also see the only difference between this and the unmirrored original is that the direction of the L and R moves are opposite, and the F and B are substituted for one another.

Pretty cool, and thanks! Awesome utility whoever wrote it!
 
If you learn one A perm and one U perm, you can solve every case. It'll be slower, but easier.
You can do it with both J perms too (that's how I permute everything on Square-1). That way you only need to learn one alg and its mirror instead of two completely different algs. OLL can be done with F sexy F' and sune.

Alternatively, you can do every OLLCP with just FRURUF/Sune/Niklas/Sexysledge, and then make some U perm out of those algs, and then use that to solve EPLL. I found a U perm, but it's quite long:
FRURUF = F
Sune = S
Niklas = N
Sexysledge = L
' = left/right mirror
U perm = L F F N' (U2) S' (U')
 
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