Consider a $3$ GHz $($gigahertz$)$ processor with a three$-$stage pipeline and stage latencies $\backslash$tau $1,\backslash$tau $2,$ and $\backslash$tau $3$ such that $\backslash$tau $1=3\backslash$tau $=3\backslash$tau $2/4=2\backslash$tau $3.$ If the longest pipeline stage is split into two pipeline stages of equal latency, Find the new frequency in GHz$,$ ignoring delays in the pipeline registers.