198 steps
wm5144wm5144
               
                       signature
                   
                   23→33
                       rule
                   
                   
                       {{{1, 1, 2}, {2, 3, 4}} -> {{4, 4, 2}, {2, 3, 5}, {3, 5, 1}}}
{{{1, 1, 2}, {2, 3, 4}} -> {{4, 4, 2}, {2, 3, 5}, {3, 5, 1}}}