Invariant random subgroups of $C^*$-simple groups

Let $Γ$ be a countable discrete $C^*$-simple group. Let $μ$ be a $Γ$-invariant Borel probability measure on $\text{Sub}(Γ)$, i.e., an IRS. We show that $μ$-almost every subgroup $H$ is $C^*$-simple.