  This paper studies fluctuations of the free energy of the Spherical
Sherrington-Kirkpatrick model with ferromagnetic Curie-Weiss interaction with
coupling constant $J \in [0,1)$ and inverse temperature $\beta$. We consider
the critical temperature regime $\beta=1+bN^{-1/3}\sqrt{\log N}$,
$b\in\mathbb{R}$. For $b \leq 0$, the limiting distribution of the free energy
is Gaussian. As $b$ increases from $0$ to $\infty$, we describe the transition
of the limiting distribution from Gaussian to Tracy-Widom.
