C$-$Spec, Inc., is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of $3\backslash$pm $0\mathrm{.}04$ inches. After a trial run on this machine, C$-$Spec has determined that the machine has a sample mean of $3\mathrm{.}020$ inches with a standard deviation of $0\mathrm{.}050$ inch.

Calculate the Cpk for this machine. $($Round your answer to $3$ decimal places.$)$