Answer :

The question is asking to state the special hat worn during the Mardi Gras, base on my research and further investigation, I would say that the answer would be Capuchon. I hope you are satisfied with my answer and feel free to ask for more if you have questions and further clarifications 

I believe the answer is: Capuchon

Capuchon is a form of robe that cover most of the head and neck of the wearers, and tend to be lose enough to cover their face,

Capuchon usually used by men during mardy grace, a celebration where local people get together to have a big feast and drinks