An integral component for a large tractor model has a USL of $950$mm and an LSL of $949\mathrm{.}90$mm$.$ Assuming this follows a six$-$sigma process and the standard deviation is $0\mathrm{.}0128.$

Let$$s say the tractor company that makes the component above would like to reduce its ppm to $26.$ To what level would they have to reduce the standard deviation to achieve this objective? $($Round the answer to $4$ decimal places.$)$

Standard deviation to achieve this objective: