  We construct a possibly non-commutative groupoid from the failure of
$3$-uniqueness of a strong type. The commutative groupoid constructed by John
Goodrick and Alexei Kolesnikov in \cite{GK} lives in the center of the
groupoid.
  A certain automorphism group approximated by the vertex groups of the
non-commutative groupoids is suggested as a "fundamental group" of the strong
type.
