  In arXiv:2008.04330 it was shown that supertranslation and
$\overline{SL(2,\mathbb C)}$ current algebra symmetries, corresponding to
leading and subleading soft graviton theorems, are enough to determine the tree
level MHV graviton scattering amplitudes. In this note we clarify the role of
subsubleading soft graviton theorem in this context.
