I hate this algorithm and I always forget it. Having just purchased a 4x4x6 cuboid, I found the first time I got close to solving it, I ran into this familiar parity. So…for the purposes of ease (i.e. I can look it up on my site whenever!) here’s the algorithm!!!
r2, B2, U2, l, U2, r’, U2, r, U2, F2, r, F2, l’, B2, r2