  We show the reinterpretation of existing searches for exotic decays of the
Standard Model (SM)-like Higgs, $H \to aa (hh)$, in various final states, in
the framework of the 2-Higgs Doublet Model (2HDM) Type-I. We then explore a new
search for such light Higgses, $a$ and $h$, at the Large Hadron Collider (LHC)
Run 3 for an integrated luminosity of 300 $\text{fb}^{-1}$. After performing a
scan over the model parameters, we found that the inverted scenario of Type-I
offers a new promising signal in the form of the following cascade decays: $H
\to Z^{*}a \to Z^{*}Z^{*}h \to b\overline{b} \mu^- \mu^+ jj$. We investigate
then its significance through a full Monte Carlo (MC) simulation down to the
detector level.
