  Justin Moore's weak club-guessing principle $\mho$ admits various possible
generalizations to the second uncountable cardinal. One of them was shown to
hold in ZFC by Shelah. A stronger one was shown to follow from several
consequences of the continuum hypothesis by Inamdar and Rinot. Here we prove
that the stronger one may consistently fail. Specifically, starting with a
supercompact cardinal and an inaccessible cardinal above it, we devise a notion
of forcing consisting of finite working parts and finitely many two types of
models as side conditions, to violate this analog of $\mho$ at the second
uncountable cardinal.
