  We consider a spin system with pure two spin Sherrington-Kirkpatrick
Hamiltonian with Curie-Weiss interaction. The model where the spins are
spherically symmetric was considered by \citet{Baiklee16} and
\citet{Baikleewu18} which shows a two dimensional phase transition with respect
to temperature and the coupling constant. In this paper we prove a result
analogous to \citet{Baiklee16} in the "paramagnetic regime" when the spins are
i.i.d. Rademacher. We prove the free energy in this case is asymptotically
Gaussian and can be approximated by a suitable linear spectral statistics.
Unlike the spherical symmetric case the free energy here can not be written as
a function of the eigenvalues of the corresponding interaction matrix. The
method in this paper relies on a dense sub-graph conditioning technique
introduced by \citet{Ban16}. The proof of the approximation by the linear
spectral statistics part is taken from \citet{Banerjee2017}.
