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CP
The  next step is to permute the corners within their respective layers.  This step is exactly the same as PBL on 2×2.  There are 5 cases (plus 3 mirrors, but I’ll leave it up to you to mirror those cases.  Recognition is easy: each layer either has solved corners, an adjacent swap, or an opposite swap.  That is, either solved, J, or N.  Find both layers  and execute the correct alg.

N/N
The easiest case is N/N.  solve it with /3,-3/-3,3/.  It’s the same as R2F2R2 on 2×2.
J/J
Next is the most common EP: J/J.  Position the solved corners on B and solve with /-3,0/3,3/0,-3/.
N/J
Third to learn is N/J.  Put the solved corners of the J on L.  Then it’s solved with /3,0/-3,0/3,0/-3,0/  Think of it as a double sexy move but with R2s.
J/solved
Next is J/solved.  Put the bar on R and do /3,0/-3,0/-3,3/-3,0/3,0/
N/solved
Finally there’s N/solved.  This is done as /-3,-3/3,0/-3,-3/3,0/-3,-3/

Just do yourself a favor and learn all of these, plus the mirrors of N/J, J/solved, and N/solved.  They’re all easy and it’s a pain to do 2look.

You’re almost done! The final step is Edge Permutation.