  In the present work we present an extended description of the covariant
noncommutative space, which accommodates the Fuzzy Gravity model constructed
previously. It is based on the historical lesson that the use of larger
algebras containing all generators of the isometry of the continuous one helped
in formulating a fuzzy covariant noncommutative space. Specifically a further
enlargement of the isometry group leads us, in addition to the construction of
the covariant noncommutative space, also to the suggestion of the group that
should be gauged on such a space in order to construct a Fuzzy Gravity theory.
As a result, we obtain two Fuzzy Gravity models, one in de Sitter and one in
anti-de Sitter space, depending on the extension of the isometry group, and we
discuss their spontaneous symmetry breaking leading to fuzzy versions of the
noncommutative $SO(1,3)$ gravity. In addition we discuss for the first time how
to introduce fermions in the fuzzy gravity and even more importantly how to
unify the constructed noncommutative-fuzzy gravity with internal interactions
based on $SO(10)$ or $SU(5)$ as grand unified theories.
