198 steps
wm4423wm4423
               
                       signature
                   
                   23→33
                       rule
                   
                   
                       {{{1, 2, 2}, {3, 2, 4}} -> {{4, 3, 4}, {3, 5, 5}, {5, 2, 1}}}
{{{1, 2, 2}, {3, 2, 4}} -> {{4, 3, 4}, {3, 5, 5}, {5, 2, 1}}}