[exceptione]

Also, Anthropic will maintain and use data in user identified form if the law does not prohibit such privacy intrusion. At least this is a valid interpretation imho; note the absence of "explicitly" as adverb for "permitted":

  «Where data is de-identified, Anthropic will maintain and use this information in its de-identified form, and will not attempt to re-identify such information, except as permitted by law.»