This is a totally fair question because underwear is always important

Aside from laughing that she took someone at such a great moment, the Witch would indeed take the suit, though she'll be kind enough to provide underwear. Workers are thankfully given not just one but a few pairs of undergarments since the Witch really doesn't think not having it would help them. Though if they really want to go commando, she won't stop them.

Or you really want them to, well, things get lost in the laundry easily. Very easily.