Acute angle $P$ has a measure of $p$ radians, and acute angle $T$ has a measure of $t$ radians. The function $g$ is defined by $g\left(x\right)=p{\left(8\right)}^x+6t$. If $\sin p=\cos t$, which of the following represents the value $g\left(0\right)$ in terms of $t$?