Will this car wash get the mud off underneath, or do I need to ask for that separately?

How to say “Will this car wash get the mud off underneath, or do I need to ask for that separately?” in Japanese

In Japanese

この洗車場(せんしゃじょう)って、車(くるま)の下(した)についた泥(どろ)も落(お)としてくれるの?それとも別(べつ)に頼(たの)まないとだめ?

Kono senshajō tte, kuruma no shita ni tsuita doro mo otoshite kureru no? Soretomo betsu ni tanomanai to dame?

Will this car wash get the mud off underneath, or do I need to ask for that separately? in other languages