Did the French brand prisoners with the fluer-de-lis in 17th century France?

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In the Dumas classic The Three Musketeers the character Milady is depicted as having a fleur-de-lis brand on her shoulder. It is stated this is proof of being in prison. Did all prisoners get this brand? When did the practice start? The book deals with Louis the 13th reign around 1627,

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Just a follow up. It appears the brand may have been for prostitution.